A002470 Glaisher's function W(n).

0, 1, 4, -8, -48, 10, 224, 80, -448, -231, 40, -248, 1408, 1466, -2240, -80, 1280, -4766, -924, 1944, -480, 9600, 6944, -2704, -8704, -15525, 5864, -3984, -14080, 25498, 2240, 10816, 33792, -29760, -19064, 800, 11088, 1994, -54432, -11728, -4480

Offset: 0

Author

N. J. A. Sloane

Keywords

• sign

References

• J. W. L. Glaisher, On the representation of a number as a sum of 14 and 16 squares, Quart. J. Math. 38 (1907), 178-236 (see p. 190).
• 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 = 0..850 (terms 0..199 from N. J. A. Sloane)
• Index entries for sequences mentioned by Glaisher

Crossrefs

Cf. A004018, A100130.

Bisections are A002286, A002287.

Formula

Coefficients of the q-series rho^7*(eta(q) * eta(q^4) / eta(q^2)^2)^24, where rho is A004018 and the second factor is given by A100130.

Extensions

Edited (new offset, signs added, more terms, formula) by N. J. A. Sloane, Nov 26 2018