Square pyramidal number (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Square pyramidal number" in English language version.

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Parker, Matt (2015), "Ship shape", Things to Make and Do in the Fourth Dimension: A Mathematician's Journey Through Narcissistic Numbers, Optimal Dating Algorithms, at Least Two Kinds of Infinity, and More, New York: Farrar, Straus and Giroux, pp. 56–59, ISBN 978-0-374-53563-6, MR 3753642
Beck, M.; De Loera, J. A.; Develin, M.; Pfeifle, J.; Stanley, R. P. (2005), "Coefficients and roots of Ehrhart polynomials", Integer Points in Polyhedra—Geometry, Number Theory, Algebra, Optimization, Contemporary Mathematics, vol. 374, Providence, Rhode Island, pp. 15–36, arXiv:math/0402148, MR 2134759{{citation}}: CS1 maint: location missing publisher (link)
Babcock, Ben; Van Tuyl, Adam (2013), "Revisiting the spreading and covering numbers", The Australasian Journal of Combinatorics, 56: 77–84, arXiv:1109.5847, MR 3097709
Alsina, Claudi; Nelsen, Roger B. (2015), "Challenge 2.13", A Mathematical Space Odyssey: Solid Geometry in the 21st Century, The Dolciani Mathematical Expositions, vol. 50, Washington, DC: Mathematical Association of America, pp. 43, 234, ISBN 978-0-88385-358-0, MR 3379535
Men'šikov, G. G.; Zaezdnyĭ, A. M. (1966), "Recurrence formulae simplifying the construction of approximating power polynomials", Žurnal Vyčislitel' noĭ Matematiki i Matematičeskoĭ Fiziki, 6: 360–363, MR 0196353; translated into English as Zaezdnyi, A. M.; Men'shikov, G. G. (January 1966), "Recurrence formulae simplifying the construction of approximating power polynomials", USSR Computational Mathematics and Mathematical Physics, 6 (2): 234–238, doi:10.1016/0041-5553(66)90072-3

archive.org

Archimedes, On Conoids and Spheroids, Lemma to Prop. 2, and On Spirals, Prop. 10. See "Lemma to Proposition 2", The Works of Archimedes, translated by T. L. Heath, Cambridge University Press, 1897, pp. 107–109
Beiler, A. H. (1964), Recreations in the Theory of Numbers, Dover, pp. 194–195, ISBN 0-486-21096-0

arxiv.org

Beck, M.; De Loera, J. A.; Develin, M.; Pfeifle, J.; Stanley, R. P. (2005), "Coefficients and roots of Ehrhart polynomials", Integer Points in Polyhedra—Geometry, Number Theory, Algebra, Optimization, Contemporary Mathematics, vol. 374, Providence, Rhode Island, pp. 15–36, arXiv:math/0402148, MR 2134759{{citation}}: CS1 maint: location missing publisher (link)
Babcock, Ben; Van Tuyl, Adam (2013), "Revisiting the spreading and covering numbers", The Australasian Journal of Combinatorics, 56: 77–84, arXiv:1109.5847, MR 3097709

books.google.com

Hopcroft, John E.; Motwani, Rajeev; Ullman, Jeffrey D. (2007), Introduction to Automata Theory, Languages, and Computation (3 ed.), Pearson/Addison Wesley, p. 20, ISBN 9780321455369

doi.org

Federico, Pasquale Joseph (1982), "Pyramidal numbers", Descartes on Polyhedra: A Study of the "De solidorum elementis", Sources in the History of Mathematics and Physical Sciences, vol. 4, Springer, pp. 89–91, doi:10.1007/978-1-4612-5759-2, ISBN 978-1-4612-5761-5
Anglin, W. S. (1990), "The square pyramid puzzle", The American Mathematical Monthly, 97 (2): 120–124, doi:10.1080/00029890.1990.11995558, JSTOR 2323911
Robitaille, David F. (May 1974), "Mathematics and chess", The Arithmetic Teacher, 21 (5): 396–400, doi:10.5951/AT.21.5.0396, JSTOR 41190919
Stein, Robert G. (1971), "A combinatorial proof that $\textstyle \sum k^{3}=(\sum k)^{2}$ ", Mathematics Magazine, 44 (3): 161–162, doi:10.2307/2688231, JSTOR 2688231
Grassl, Richard (July 1995), "79.33 The squares do fit!", The Mathematical Gazette, 79 (485): 361–364, doi:10.2307/3618315, JSTOR 3618315, S2CID 187946568
Caglayan, Günhan; Buddoo, Horace (September 2014), "Tetrahedral numbers", The Mathematics Teacher, 108 (2): 92–97, doi:10.5951/mathteacher.108.2.0092, JSTOR 10.5951/mathteacher.108.2.0092
Fearnehough, Alan (November 2006), "90.67 A series for the 'bit'", Notes, The Mathematical Gazette, 90 (519): 460–461, doi:10.1017/S0025557200180337, JSTOR 40378200, S2CID 113711266
Men'šikov, G. G.; Zaezdnyĭ, A. M. (1966), "Recurrence formulae simplifying the construction of approximating power polynomials", Žurnal Vyčislitel' noĭ Matematiki i Matematičeskoĭ Fiziki, 6: 360–363, MR 0196353; translated into English as Zaezdnyi, A. M.; Men'shikov, G. G. (January 1966), "Recurrence formulae simplifying the construction of approximating power polynomials", USSR Computational Mathematics and Mathematical Physics, 6 (2): 234–238, doi:10.1016/0041-5553(66)90072-3

jst.go.jp

jstage.jst.go.jp

Yanagihara, Kitizi (November 1918), "On the Dajutu or the arithmetic series of higher orders as studied by wasanists", Tohoku Mathematical Journal, 14 (3–4): 305–324

jstor.org

Anglin, W. S. (1990), "The square pyramid puzzle", The American Mathematical Monthly, 97 (2): 120–124, doi:10.1080/00029890.1990.11995558, JSTOR 2323911
Duffin, Janet; Patchett, Mary; Adamson, Ann; Simmons, Neil (November 1984), "Old squares new faces", Mathematics in School, 13 (5): 2–4, JSTOR 30216270
Robitaille, David F. (May 1974), "Mathematics and chess", The Arithmetic Teacher, 21 (5): 396–400, doi:10.5951/AT.21.5.0396, JSTOR 41190919
Stein, Robert G. (1971), "A combinatorial proof that $\textstyle \sum k^{3}=(\sum k)^{2}$ ", Mathematics Magazine, 44 (3): 161–162, doi:10.2307/2688231, JSTOR 2688231
Grassl, Richard (July 1995), "79.33 The squares do fit!", The Mathematical Gazette, 79 (485): 361–364, doi:10.2307/3618315, JSTOR 3618315, S2CID 187946568
Caglayan, Günhan; Buddoo, Horace (September 2014), "Tetrahedral numbers", The Mathematics Teacher, 108 (2): 92–97, doi:10.5951/mathteacher.108.2.0092, JSTOR 10.5951/mathteacher.108.2.0092
Fearnehough, Alan (November 2006), "90.67 A series for the 'bit'", Notes, The Mathematical Gazette, 90 (519): 460–461, doi:10.1017/S0025557200180337, JSTOR 40378200, S2CID 113711266

oeis.org

Sloane, N. J. A. (ed.), "Sequence A000330 (Square pyramidal numbers)", The On-Line Encyclopedia of Integer Sequences, OEIS Foundation

semanticscholar.org

api.semanticscholar.org

Grassl, Richard (July 1995), "79.33 The squares do fit!", The Mathematical Gazette, 79 (485): 361–364, doi:10.2307/3618315, JSTOR 3618315, S2CID 187946568
Fearnehough, Alan (November 2006), "90.67 A series for the 'bit'", Notes, The Mathematical Gazette, 90 (519): 460–461, doi:10.1017/S0025557200180337, JSTOR 40378200, S2CID 113711266