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A321550 a(n) = Sum_{d|n} (-1)^(d-1)*d^11. 2


%S 1,-2047,177148,-4196351,48828126,-362621956,1977326744,-8594130943,

%T 31381236757,-99951173922,285311670612,-743375186948,1792160394038,

%U -4047587844968,8649804864648,-17600780175359,34271896307634,-64237391641579,116490258898220,-204899955368226,350279478046112

%N a(n) = Sum_{d|n} (-1)^(d-1)*d^11.

%H Seiichi Manyama, <a href="/A321550/b321550.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} (-1)^(k-1)*k^11*x^k/(1 - x^k). - _Ilya Gutkovskiy_, Dec 24 2018

%o (PARI) apply( a(n)=sumdiv(n, d, (-1)^(d-1)*d^11), [1..30]) \\ _M. F. Hasler_, Nov 26 2018

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

%K sign,mult

%O 1,2

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

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Last modified January 21 04:53 EST 2020. Contains 331104 sequences. (Running on oeis4.)