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A321809 a(n) = Sum_{d divides n} (-1)^(d + n/d) * d^12. 3
1, -4097, 531442, -16773121, 244140626, -2177317874, 13841287202, -68702695425, 282430067923, -1000244144722, 3138428376722, -8913940970482, 23298085122482, -56707753666594, 129746582562692, -281406240452609, 582622237229762 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Seiichi Manyama, Table of n, a(n) for n = 1..10000

J. W. L. Glaisher, On the representations of a number as the sum of two, four, six, eight, ten, and twelve squares, Quart. J. Math. 38 (1907), 1-62 (see p. 4 and p. 8).

Index entries for sequences mentioned by Glaisher

FORMULA

G.f.: Sum_{k>=1} (-1)^(k+1)*k^12*x^k/(1 + x^k). - Ilya Gutkovskiy, Dec 22 2018

PROG

(PARI) apply( A321809(n)=sumdiv(n, d, (-1)^(n\d-d)*d^12), [1..30]) \\ M. F. Hasler, Nov 26 2018

CROSSREFS

Column k=12 of A322083.

Cf. A321543 - A321565, A321807 - A321836 for similar sequences.

Sequence in context: A309112 A044887 A217196 * A017687 A013960 A036090

Adjacent sequences:  A321806 A321807 A321808 * A321810 A321811 A321812

KEYWORD

sign,mult

AUTHOR

N. J. A. Sloane, Nov 23 2018

STATUS

approved

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Last modified July 8 04:16 EDT 2020. Contains 335504 sequences. (Running on oeis4.)