The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A037270

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A037270

a(n) = n^2*(n^2 + 1)/2.
(history; published version)

#179 by Jon E. Schoenfield at Mon Feb 21 00:59:24 EST 2022

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#178 by Jon E. Schoenfield at Mon Feb 21 00:59:22 EST 2022

PROG

(MAGMAMagma) [n^2*(n^2 + 1)/2: n in [0..30]] // Stefano Spezia, Jan 15 2019

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#177 by Peter Luschny at Tue Nov 02 06:29:28 EDT 2021

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#176 by Michel Marcus at Tue Nov 02 03:12:08 EDT 2021

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#175 by Michel Marcus at Tue Nov 02 03:12:05 EDT 2021

LINKS

Th. Gruner, A. Kerber, R. Laue, and M. Meringer, <a href="https://doi.org/10.1007/978-3-642-60185-9_7">Mathematics for Combinatorial Chemistry</a>, In: F. Keil, W. Mackens, H. Voß and J. Wether, Scientific Computing in Chemical Engineering II, Springer, 1999, 74-81.

<a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5, -10, 10, -5, 1).

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#174 by Amiram Eldar at Tue Nov 02 03:02:45 EDT 2021

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#173 by Amiram Eldar at Tue Nov 02 02:48:21 EDT 2021

FORMULA

Sum_{n>=1} (-1)^(n+1)/a(n) = Pi*csch(Pi) + Pi^2/6 - 1. - Amiram Eldar, Nov 02 2021

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#172 by Alois P. Heinz at Thu Feb 18 18:16:14 EST 2021

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#171 by Alois P. Heinz at Thu Feb 18 18:16:10 EST 2021

DATA

0, 1, 10, 45, 136, 325, 666, 1225, 2080, 3321, 5050, 7381, 10440, 14365, 19306, 25425, 32896, 41905, 52650, 65341, 80200, 97461, 117370, 140185, 166176, 195625, 228826, 266085, 307720, 354061, 405450, 462241, 524800, 593505, 668746, 750925, 840456, 937765

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#170 by Alois P. Heinz at Sat Sep 07 20:54:44 EDT 2019

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approved