A002611 - OEIS

A002611

Glaisher's function V(n).
(Formerly M3235 N1305)

0, 1, 4, -4, -32, -16, 56, 80, 192, 98, -740, -704, 96, -224, 2440, 3520, -2624, -351, -780, -10632, 2688, 2960, -9496, 18176, 14208, -3934, 12552, -9856, -24608, -9760, -2720, -25344, -35520, 31106, 34160, 62844, 84576, 3120, -21880, -82272, 27520, -96768, -237316, 130240, -92832, 37984, 305296, -183296, 37632, 208803

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OFFSET

1,3

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. 320). [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

Table of n, a(n) for n=1..50.

Index entries for sequences mentioned by Glaisher

FORMULA

a(n) = Sum_{k=1..floor(n/2)} A004018(n - 2*k) * A002288(k). - Sean A. Irvine, Mar 04 2019

CROSSREFS

Cf. A002288, A004018.

Sequence in context: A256691 A120030 A138504 * A130188 A270676 A270625

Adjacent sequences: A002608 A002609 A002610 * A002612 A002613 A002614

KEYWORD