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A321554 a(n) = Sum_{d|n} (-1)^(n/d+1)*d^9. 4


%S 1,511,19684,261631,1953126,10058524,40353608,133955071,387440173,

%T 998047386,2357947692,5149944604,10604499374,20620693688,38445332184,

%U 68584996351,118587876498,197981928403,322687697780,510998308506,794320419872,1204911270612,1801152661464,2636771617564,3814699218751

%N a(n) = Sum_{d|n} (-1)^(n/d+1)*d^9.

%H Seiichi Manyama, <a href="/A321554/b321554.txt">Table of n, a(n) for n = 1..10000</a>

%H J. W. L. Glaisher, <a href="https://books.google.com/books?id=bLs9AQAAMAAJ&amp;pg=RA1-PA1">On the representations of a number as the sum of two, four, six, eight, ten, and twelve squares</a>, Quart. J. Math. 38 (1907), 1-62 (see p. 4 and p. 8).

%H <a href="/index/Ge#Glaisher">Index entries for sequences mentioned by Glaisher</a>

%F G.f.: Sum_{k>=1} k^9*x^k/(1 + x^k). - _Seiichi Manyama_, Nov 24 2018

%o (PARI) apply( A321554(n)=sumdiv(n, d, (-1)^(n\d-1)*d^9), [1..30]) \\ _M. F. Hasler_, Nov 26 2018

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

%K nonn,mult

%O 1,2

%A _N. J. A. Sloane_, Nov 23 2018

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Last modified January 20 11:11 EST 2020. Contains 331083 sequences. (Running on oeis4.)