A002612 - OEIS

A002612

Glaisher's function U(n).
(Formerly M4836 N2067)

1, 12, 48, 16, -414, -960, 672, 4800, 2721, -9064, -8880, 6912, -2398, -13440, 29280, 30976, -10878, 57228, -9360, -252384, -53760, 177600, -113952, 107520, 436131, -16488, 150624, 96768, -915678, -585600, -32640, 248832, 710400, -466408

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OFFSET

1,2

COMMENTS

It would be nice to have a q-series that generates this sequence. Glaisher gives many formulas but they are difficult to follow.

REFERENCES

J. W. L. Glaisher, On the representation of a number as sum of 18 squares, Quart. J. Math. 38 (1907), 289-351 (see p. 325). [The whole 1907 volume of The Quarterly Journal of Pure and Applied Mathematics, volume 38, is freely available from Google Books]

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Sean A. Irvine, Table of n, a(n) for n = 1..500

Index entries for sequences mentioned by Glaisher

FORMULA

a(n) = A002609(n) + 32*A002611(n). - Sean A. Irvine, Mar 04 2019

CROSSREFS

Sequence in context: A051673 A030623 A030624 * A124351 A335101 A230919

Adjacent sequences: A002609 A002610 A002611 * A002613 A002614 A002615

KEYWORD

sign

AUTHOR

N. J. A. Sloane

EXTENSIONS

Edited and signs added by N. J. A. Sloane, Nov 26 2018

More terms from Sean A. Irvine, Mar 04 2019

STATUS

approved