

A321808


a(n) = Sum_{d divides n} (1)^(d + n/d) * d^11.


4



1, 2049, 177148, 4192257, 48828126, 362976252, 1977326744, 8585738241, 31381236757, 100048830174, 285311670612, 742649943036, 1792160394038, 4051542498456, 8649804864648, 17583591913473, 34271896307634, 64300154115093
(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), 162 (see p. 4 and p. 8).
Index entries for sequences mentioned by Glaisher


FORMULA

G.f.: Sum_{k>=1} (1)^(k+1)*k^11*x^k/(1 + x^k).  Ilya Gutkovskiy, Dec 22 2018


PROG

(PARI) apply( A321808(n)=sumdiv(n, d, (1)^(n\dd)*d^11), [1..30]) \\ M. F. Hasler, Nov 26 2018


CROSSREFS

Column k=11 of A322083.
Cf. A321543  A321565, A321807  A321836 for similar sequences.
Sequence in context: A071116 A060949 A230189 * A017685 A013959 A036089
Adjacent sequences: A321805 A321806 A321807 * A321809 A321810 A321811


KEYWORD

sign,mult


AUTHOR

N. J. A. Sloane, Nov 23 2018


STATUS

approved



