%I
%S 1,127,2188,16255,78126,277876,823544,2080639,4785157,9922002,
%T 19487172,35565940,62748518,104590088,170939688,266321791,410338674,
%U 607714939,893871740,1269938130,1801914272,2474870844,3404825448,4552438132,6103593751,7969061786,10465138360,13386707720,17249876310
%N a(n) = Sum_{dn} (1)^(n/d+1)*d^7.
%H Seiichi Manyama, <a href="/A321552/b321552.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&pg=RA1PA1">On the representations of a number as the sum of two, four, six, eight, ten, and twelve squares</a>, Quart. J. Math. 38 (1907), 162 (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^7*x^k/(1 + x^k).  _Seiichi Manyama_, Nov 23 2018
%o (PARI) apply( A321552(n)=sumdiv(n, d, (1)^(n\d1)*d^7), [1..30]) \\ _M. F. Hasler_, Nov 26 2018
%Y Sum_{k>=1} k^b*x^k/(1 + x^k): A000593 (b=1), A078306 (b=2), A078307 (b=3), A284900 (b=4), A284926 (b=5), A284927 (b=6), this sequence (b=7), A321553 (b=8), A321554 (b=9), A321555 (b=10), A321556 (b=11), A321557 (b=12).
%Y Cf. A321543  A321565, A321807  A321836 for similar sequences.
%K nonn,mult
%O 1,2
%A _N. J. A. Sloane_, Nov 23 2018
