Constant-recursive sequence (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Constant-recursive sequence" in English language version.

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acm.org

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Lipton, Richard; Luca, Florian; Nieuwveld, Joris; Ouaknine, Joël; Purser, David; Worrell, James (2022-08-04). "On the Skolem Problem and the Skolem Conjecture". Proceedings of the 37th Annual ACM/IEEE Symposium on Logic in Computer Science. LICS '22. New York, NY, USA: Association for Computing Machinery. pp. 1–9. doi:10.1145/3531130.3533328. ISBN 978-1-4503-9351-5.

ams.org

mathscinet.ams.org

Ouaknine, Joël; Worrell, James (2012). "Decision problems for linear recurrence sequences". Reachability Problems: 6th International Workshop, RP 2012, Bordeaux, France, September 17–19, 2012, Proceedings. Lecture Notes in Computer Science. Vol. 7550. Heidelberg: Springer-Verlag. pp. 21–28. doi:10.1007/978-3-642-33512-9_3. ISBN 978-3-642-33511-2. MR 3040104..

arxiv.org

Boyadzhiev, Boyad (2012). "Close Encounters with the Stirling Numbers of the Second Kind" (PDF). Math. Mag. 85 (4): 252–266. arXiv:1806.09468. doi:10.4169/math.mag.85.4.252. S2CID 115176876.
Martino, Ivan; Martino, Luca (2013-11-14). "On the variety of linear recurrences and numerical semigroups". Semigroup Forum. 88 (3): 569–574. arXiv:1207.0111. doi:10.1007/s00233-013-9551-2. ISSN 0037-1912. S2CID 119625519.
Bacik, Piotr (2024-09-02). "Completing the picture for the Skolem Problem on order-4 linear recurrence sequences". arXiv:2409.01221 [cs.FL].
Bilu, Yuri; Luca, Florian; Nieuwveld, Joris; Ouaknine, Joël; Purser, David; Worrell, James (2022-04-28). "Skolem Meets Schanuel". arXiv:2204.13417 [cs.LO].

books.google.com

Kauers & Paule 2010, p. 63. Kauers, Manuel; Paule, Peter (2010). The Concrete Tetrahedron: Symbolic Sums, Recurrence Equations, Generating Functions, Asymptotic Estimates. Springer Vienna. p. 66. ISBN 978-3-7091-0444-6.
Kauers & Paule 2010, p. 70. Kauers, Manuel; Paule, Peter (2010). The Concrete Tetrahedron: Symbolic Sums, Recurrence Equations, Generating Functions, Asymptotic Estimates. Springer Vienna. p. 66. ISBN 978-3-7091-0444-6.
Kauers & Paule 2010, p. 66. Kauers, Manuel; Paule, Peter (2010). The Concrete Tetrahedron: Symbolic Sums, Recurrence Equations, Generating Functions, Asymptotic Estimates. Springer Vienna. p. 66. ISBN 978-3-7091-0444-6.
Jordan, Charles; Jordán, Károly (1965). Calculus of Finite Differences. American Mathematical Soc. pp. 9–11. ISBN 978-0-8284-0033-6. See formula on p.9, top.
Kauers & Paule 2010, p. 81. Kauers, Manuel; Paule, Peter (2010). The Concrete Tetrahedron: Symbolic Sums, Recurrence Equations, Generating Functions, Asymptotic Estimates. Springer Vienna. p. 66. ISBN 978-3-7091-0444-6.
Kauers & Paule 2010, p. 74. Kauers, Manuel; Paule, Peter (2010). The Concrete Tetrahedron: Symbolic Sums, Recurrence Equations, Generating Functions, Asymptotic Estimates. Springer Vienna. p. 66. ISBN 978-3-7091-0444-6.
Kauers & Paule 2010, p. 67. Kauers, Manuel; Paule, Peter (2010). The Concrete Tetrahedron: Symbolic Sums, Recurrence Equations, Generating Functions, Asymptotic Estimates. Springer Vienna. p. 66. ISBN 978-3-7091-0444-6.
Kauers & Paule 2010, p. 69. Kauers, Manuel; Paule, Peter (2010). The Concrete Tetrahedron: Symbolic Sums, Recurrence Equations, Generating Functions, Asymptotic Estimates. Springer Vienna. p. 66. ISBN 978-3-7091-0444-6.
Kauers & Paule 2010, pp. 68–70. Kauers, Manuel; Paule, Peter (2010). The Concrete Tetrahedron: Symbolic Sums, Recurrence Equations, Generating Functions, Asymptotic Estimates. Springer Vienna. p. 66. ISBN 978-3-7091-0444-6.
Kauers & Paule 2010, p. 71. Kauers, Manuel; Paule, Peter (2010). The Concrete Tetrahedron: Symbolic Sums, Recurrence Equations, Generating Functions, Asymptotic Estimates. Springer Vienna. p. 66. ISBN 978-3-7091-0444-6.

doi.org

Boyadzhiev, Boyad (2012). "Close Encounters with the Stirling Numbers of the Second Kind" (PDF). Math. Mag. 85 (4): 252–266. arXiv:1806.09468. doi:10.4169/math.mag.85.4.252. S2CID 115176876.
Riordan, John (1964). "Inverse Relations and Combinatorial Identities". The American Mathematical Monthly. 71 (5): 485–498. doi:10.1080/00029890.1964.11992269. ISSN 0002-9890.
Ouaknine, Joël; Worrell, James (2012). "Decision problems for linear recurrence sequences". Reachability Problems: 6th International Workshop, RP 2012, Bordeaux, France, September 17–19, 2012, Proceedings. Lecture Notes in Computer Science. Vol. 7550. Heidelberg: Springer-Verlag. pp. 21–28. doi:10.1007/978-3-642-33512-9_3. ISBN 978-3-642-33511-2. MR 3040104..
Martino, Ivan; Martino, Luca (2013-11-14). "On the variety of linear recurrences and numerical semigroups". Semigroup Forum. 88 (3): 569–574. arXiv:1207.0111. doi:10.1007/s00233-013-9551-2. ISSN 0037-1912. S2CID 119625519.
Lech, C. (1953). "A Note on Recurring Series". Arkiv för Matematik. 2 (5): 417–421. Bibcode:1953ArM.....2..417L. doi:10.1007/bf02590997.
Lipton, Richard; Luca, Florian; Nieuwveld, Joris; Ouaknine, Joël; Purser, David; Worrell, James (2022-08-04). "On the Skolem Problem and the Skolem Conjecture". Proceedings of the 37th Annual ACM/IEEE Symposium on Logic in Computer Science. LICS '22. New York, NY, USA: Association for Computing Machinery. pp. 1–9. doi:10.1145/3531130.3533328. ISBN 978-1-4503-9351-5.
Berstel, Jean; Mignotte, Maurice (1976). "Deux propriétés décidables des suites récurrentes linéaires". Bulletin de la Société Mathématique de France (in French). 104: 175–184. doi:10.24033/bsmf.1823.
Vereshchagin, N. K. (1985-08-01). "Occurrence of zero in a linear recursive sequence". Mathematical Notes of the Academy of Sciences of the USSR. 38 (2): 609–615. doi:10.1007/BF01156238. ISSN 1573-8876.
Stanley, Richard P (1980). "Differentiably finite power series". European Journal of Combinatorics. 1 (2): 175–188. doi:10.1016/S0195-6698(80)80051-5.
Allouche, Jean-Paul; Shallit, Jeffrey (1992). "The ring of k-regular sequences". Theoretical Computer Science. 98 (2): 163–197. doi:10.1016/0304-3975(92)90001-V.

eudml.org

Tijdeman, R.; Mignotte, M.; Shorey, T. N. (1984). "The distance between terms of an algebraic recurrence sequence". Journal für die reine und angewandte Mathematik. 349: 63–76. ISSN 0075-4102.

harvard.edu

ui.adsabs.harvard.edu

Lech, C. (1953). "A Note on Recurring Series". Arkiv för Matematik. 2 (5): 417–421. Bibcode:1953ArM.....2..417L. doi:10.1007/bf02590997.

hbz-nrw.de

ubt.opus.hbz-nrw.de

Pohlen, Timo (2009). "The Hadamard product and universal power series" (PDF). University of Trier (Doctoral Dissertation): 36–37.

maa.org

Boyadzhiev, Boyad (2012). "Close Encounters with the Stirling Numbers of the Second Kind" (PDF). Math. Mag. 85 (4): 252–266. arXiv:1806.09468. doi:10.4169/math.mag.85.4.252. S2CID 115176876.

math.ca

fq.math.ca

Brousseau 1971, pp. 28–34, Lesson 5. Brousseau, Alfred (1971). Linear Recursion and Fibonacci Sequences. Fibonacci Association.
Brousseau 1971, p. 16, Lesson 3. Brousseau, Alfred (1971). Linear Recursion and Fibonacci Sequences. Fibonacci Association.
Brousseau 1971, p. 28, Lesson 5. Brousseau, Alfred (1971). Linear Recursion and Fibonacci Sequences. Fibonacci Association.
Brousseau 1971, pp. 29–31, Lesson 5. Brousseau, Alfred (1971). Linear Recursion and Fibonacci Sequences. Fibonacci Association.
Brousseau 1971, p. 37, Lesson 6. Brousseau, Alfred (1971). Linear Recursion and Fibonacci Sequences. Fibonacci Association.

oeis.org

"Index to OEIS: Section Rec - OeisWiki". oeis.org. Retrieved 2024-04-18.

psu.edu

citeseerx.ist.psu.edu

Halava, Vesa; Harju, Tero; Hirvensalo, Mika; Karhumäki, Juhani (2005). "Skolem's Problem – On the Border between Decidability and Undecidability". p. 1. CiteSeerX 10.1.1.155.2606.

semanticscholar.org

api.semanticscholar.org

Boyadzhiev, Boyad (2012). "Close Encounters with the Stirling Numbers of the Second Kind" (PDF). Math. Mag. 85 (4): 252–266. arXiv:1806.09468. doi:10.4169/math.mag.85.4.252. S2CID 115176876.
Martino, Ivan; Martino, Luca (2013-11-14). "On the variety of linear recurrences and numerical semigroups". Semigroup Forum. 88 (3): 569–574. arXiv:1207.0111. doi:10.1007/s00233-013-9551-2. ISSN 0037-1912. S2CID 119625519.

tandfonline.com

Riordan, John (1964). "Inverse Relations and Combinatorial Identities". The American Mathematical Monthly. 71 (5): 485–498. doi:10.1080/00029890.1964.11992269. ISSN 0002-9890.

uky.edu

ms.uky.edu

Stanley 2011, p. 464. Stanley, Richard P. (2011). Enumerative Combinatorics (PDF). Vol. 1 (2 ed.). Cambridge studies in advanced mathematics.
Stanley 2011, pp. 464–465. Stanley, Richard P. (2011). Enumerative Combinatorics (PDF). Vol. 1 (2 ed.). Cambridge studies in advanced mathematics.
Stanley 2011, pp. 468–469. Stanley, Richard P. (2011). Enumerative Combinatorics (PDF). Vol. 1 (2 ed.). Cambridge studies in advanced mathematics.
Stanley 2011, p. 465. Stanley, Richard P. (2011). Enumerative Combinatorics (PDF). Vol. 1 (2 ed.). Cambridge studies in advanced mathematics.
Stanley 2011, pp. 471. Stanley, Richard P. (2011). Enumerative Combinatorics (PDF). Vol. 1 (2 ed.). Cambridge studies in advanced mathematics.

worldcat.org

search.worldcat.org

Riordan, John (1964). "Inverse Relations and Combinatorial Identities". The American Mathematical Monthly. 71 (5): 485–498. doi:10.1080/00029890.1964.11992269. ISSN 0002-9890.
Martino, Ivan; Martino, Luca (2013-11-14). "On the variety of linear recurrences and numerical semigroups". Semigroup Forum. 88 (3): 569–574. arXiv:1207.0111. doi:10.1007/s00233-013-9551-2. ISSN 0037-1912. S2CID 119625519.
Vereshchagin, N. K. (1985-08-01). "Occurrence of zero in a linear recursive sequence". Mathematical Notes of the Academy of Sciences of the USSR. 38 (2): 609–615. doi:10.1007/BF01156238. ISSN 1573-8876.
Tijdeman, R.; Mignotte, M.; Shorey, T. N. (1984). "The distance between terms of an algebraic recurrence sequence". Journal für die reine und angewandte Mathematik. 349: 63–76. ISSN 0075-4102.