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 A321544 a(n) = Sum_{d|n} (-1)^(d-1)*d^5. 2
 1, -31, 244, -1055, 3126, -7564, 16808, -33823, 59293, -96906, 161052, -257420, 371294, -521048, 762744, -1082399, 1419858, -1838083, 2476100, -3297930, 4101152, -4992612, 6436344, -8252812, 9768751, -11510114, 14408200, -17732440, 20511150, -23645064, 28629152, -34636831, 39296688, -44015598 (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). FORMULA G.f.: Sum_{k>=1} (-1)^(k-1)*k^5*x^k/(1 - x^k). - Ilya Gutkovskiy, Dec 23 2018 PROG (PARI) apply( a(n)=sumdiv(n, d, (-1)^(d-1)*d^5), [1..30]) \\ M. F. Hasler, Nov 26 2018 CROSSREFS Cf. A321543 - A321565, A321807 - A321836 for similar sequences. Sequence in context: A258807 A221848 A284926 * A147963 A027846 A042872 Adjacent sequences:  A321541 A321542 A321543 * A321545 A321546 A321547 KEYWORD sign,mult AUTHOR N. J. A. Sloane, Nov 23 2018 STATUS approved

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Last modified March 25 22:28 EDT 2019. Contains 321477 sequences. (Running on oeis4.)