A002610 - OEIS

A002610

Glaisher's function H'(4n+1) (18 squares version).
(Formerly M4051 N1681)

0, 1, -6, -3, 82, -84, -444, 769, 1110, -2643, -860, 2901, -1176, 6277, 1170, -21315, -2308, 14244, 29442, 15540, -58194, -13338, -31886, 4080, 176682, -70715, -51240, 81489, -135728, 13137, -205350, 58826, 355974, 16380, 530932, -457944, -938748, 140329, 99462, 317157

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

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. 312). [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=0..39.

Sean A. Irvine, Java program (github)

Index entries for sequences mentioned by Glaisher

FORMULA

See eqn. top of page 312 in Glaisher, where Theta(n) is A002288(n). - Sean A. Irvine, Mar 03 2019

CROSSREFS

Cf. A002288.

Sequence in context: A324673 A367377 A324004 * A100979 A279107 A266661

Adjacent sequences: A002607 A002608 A002609 * A002611 A002612 A002613