|
| |
|
|
A321807
|
|
a(n) = Sum_{d divides n} (-1)^(d + n/d) * d^10.
|
|
55
|
|
|
|
1, -1025, 59050, -1047553, 9765626, -60526250, 282475250, -1072692225, 3486843451, -10009766650, 25937424602, -61858004650, 137858491850, -289537131250, 576660215300, -1098436836353, 2015993900450, -3574014537275, 6131066257802
(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^10*x^k/(1 + x^k). - Ilya Gutkovskiy, Dec 22 2018
|
|
|
PROG
|
(PARI) apply( A321807(n)=sumdiv(n, d, (-1)^(d-n\d)*d^10), [1..30]) \\ M. F. Hasler, Nov 26 2018
|
|
|
CROSSREFS
|
Column k=10 of A322083.
Cf. A321543 - A321565, A321808 - A321836 for similar sequences.
Sequence in context: A060948 A171385 A031742 * A017683 A013958 A294305
Adjacent sequences: A321804 A321805 A321806 * A321808 A321809 A321810
|
|
|
KEYWORD
|
sign,mult
|
|
|
AUTHOR
|
N. J. A. Sloane, Nov 23 2018
|
|
|
STATUS
|
approved
|
| |
|
|
