

A321818


a(n) = Sum_{dn, n/d odd} d^8 for n > 0.


3



1, 256, 6562, 65536, 390626, 1679872, 5764802, 16777216, 43053283, 100000256, 214358882, 430047232, 815730722, 1475789312, 2563287812, 4294967296, 6975757442, 11021640448, 16983563042, 25600065536, 37828630724, 54875873792, 78310985282
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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} k^8*x^k/(1  x^(2*k)).  Ilya Gutkovskiy, Dec 22 2018


PROG

(PARI) apply( A321818(n)=sumdiv(n, d, if(bittest(n\d, 0), d^8)), [1..30]) \\ M. F. Hasler, Nov 26 2018


CROSSREFS

Cf. A321543  A321565, A321807  A321836 for related sequences.
Sequence in context: A046457 A179645 A056585 * A231307 A206129 A236214
Adjacent sequences: A321815 A321816 A321817 * A321819 A321820 A321821


KEYWORD

nonn,mult


AUTHOR

N. J. A. Sloane, Nov 24 2018


STATUS

approved



