A002287 -id:A002287 - cp's OEIS frontend

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

N. J. A. Sloane

sign

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).

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

Cf. A004018, A100130.

Bisections are A002286, A002287.

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.

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

A002286 Bisection of A002470.

Original entry on oeis.org

1, -8, 10, 80, -231, -248, 1466, -80, -4766, 1944, 9600, -2704, -15525, -3984, 25498, 10816, -29760, 800, 1994, -11728, 29362, -5560, -2310, -1952, 21649, 38128, -192854, -2480, 233280, -20248, -10918, -18480, 14660, -101768, -324480, 137424

Offset: 1

N. J. A. Sloane

sign

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).

Index entries for sequences mentioned by Glaisher

Cf. A002470, A002287.

a(n) = A002470(2n-1). - Wesley Ivan Hurt, Dec 26 2023

Entry revised by N. J. A. Sloane, Nov 26 2018

cp's OEIS Frontend

A002470 Glaisher's function W(n).

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