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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

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

OFFSET

0,3

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

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.

Empirical: Sum_{n>=0} a(n) / exp(n*Pi) = (1/64) * Pi^(7/2) / Gamma(3/4)^14 = A388106. - Simon Plouffe, Sep 14 2025

CROSSREFS

Cf. A004018, A100130.

Bisections are A002286, A002287.

Sequence in context: A270352 A183394 A291948 * A087261 A249572 A078236

Adjacent sequences: A002467 A002468 A002469 * A002471 A002472 A002473

KEYWORD

sign

AUTHOR

N. J. A. Sloane

EXTENSIONS

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

STATUS

approved

URL: https://oeis.org/A002470

⇱ A002470 - OEIS