The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A000330

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A000330

Square pyramidal numbers: a(n) = 0^2 + 1^2 + 2^2 + ... + n^2 = n*(n+1)*(2*n+1)/6.
(history; published version)

#618 by Michel Marcus at Sun Sep 29 02:55:59 EDT 2024

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reviewed

approved

#617 by Joerg Arndt at Sun Sep 29 02:04:29 EDT 2024

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proposed

reviewed

#616 by Michael De Vlieger at Sat Sep 28 16:23:45 EDT 2024

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editing

proposed

#615 by Michael De Vlieger at Sat Sep 28 16:23:41 EDT 2024

LINKS

David Galvin and Courtney Sharpe, <a href="https://arxiv.org/abs/2409.15555">Independent set sequence of linear hyperpaths</a>, arXiv:2409.15555 [math.CO], 2024. See p. 7.

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approved

editing

#614 by N. J. A. Sloane at Sat Sep 07 15:42:53 EDT 2024

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proposed

approved

#613 by Stefano Spezia at Sat Sep 07 14:58:44 EDT 2024

STATUS

editing

proposed

#612 by Stefano Spezia at Sat Sep 07 12:47:52 EDT 2024

LINKS

Milan Janjic, <a href="https://web.archive.org/web/20190226144349/https://pdfs.semanticscholar.org/801b/6b226bfe1d6b002fb4946c3957d7052132bd.pdf">Two Enumerative Functions</a>.

#611 by Stefano Spezia at Sat Sep 07 12:45:01 EDT 2024

LINKS

Henry Bottomley, <a href="/A000330/a000330.gif">Illustration of initial terms</a>.

Milan Janjic, <a href="https://pdfs.semanticscholar.org/801b/6b226bfe1d6b002fb4946c3957d7052132bd.pdf">Two Enumerative Functions</a>.

R. Jovanovic, <a href="http://web.archive.org/web/20060214203801/http://milan.milanovic.org/math/Math.php?akcija=SviPiram">First 2500 Pyramidal numbers</a>.

Michael Penn, <a href="https://www.youtube.com/watch?v=DIsW_6u7jrA">Counting on a chessboard.</a>, YouTube video, 2021.

Simon Plouffe, <a href="/A000051/a000051_2.pdf">1031 Generating Functions</a>, Appendix to Thesis, Montreal, 1992.

T. Sillke, <a href="http://www.mathematik.uni-bielefeld.de/~sillke/SEQUENCES/grid-squares">Square Counting</a>.

Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/FaulhabersFormula.html">Faulhaber's Formula</a>.

Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/SquarePyramidalNumber.html">Square Pyramidal Number</a>.

Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PowerSum.html">PowerSum</a>.

Wikipedia, <a href="http://en.wikipedia.org/wiki/Faulhaber's_formula">Faulhaber's formula</a>.

G. Xiao, Sigma Server, <a href="http://wims.unice.fr/~wims/en_tool~analysis~sigma.en.html">Operate on"n^2"</a>.

<a href="/index/Cor#core">Index entries for "core" sequences</a>.

<a href="/index/Ps#pyramidal_numbers">Index to sequences related to pyramidal numbers</a>.

<a href="/index/Tu#2wis">Index entries for two-way infinite sequences</a>.

#610 by Stefano Spezia at Sat Sep 07 11:59:55 EDT 2024

REFERENCES

David Wells, The Penguin Dictionary of Curious and Interesting Numbers. Penguin Books, NY, 1986, Revised edition 1987. See p. 126.

STATUS

approved

editing

#609 by Alois P. Heinz at Tue Jun 11 05:21:52 EDT 2024

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reviewed

approved