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 A364205 Expansion of Sum_{k>=0} x^(3*k+2) / (1 + x^(3*k+2)). 3
 0, 1, 0, -1, 1, 1, 0, 0, 0, 0, 1, -1, 0, 2, 1, -2, 1, 1, 0, -1, 0, 0, 1, 0, 1, 2, 0, -2, 1, 0, 0, -1, 1, 0, 2, -1, 0, 2, 0, -2, 1, 2, 0, -1, 1, 0, 1, -2, 0, 1, 1, -2, 1, 1, 2, 0, 0, 0, 1, -1, 0, 2, 0, -3, 2, 0, 0, -1, 1, 0, 1, 0, 0, 2, 1, -2, 2, 2, 0, -3, 0, 0, 1, -2, 2, 2, 1, -2, 1, 0, 0, -1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,14 LINKS Seiichi Manyama, Table of n, a(n) for n = 1..10000 FORMULA a(n) = Sum_{d|n, n/d==2 (mod 3)} (-1)^(d+1). MATHEMATICA nmax = 92; CoefficientList[Series[Sum[x^(3 k + 2)/(1 + x^(3 k + 2)), {k, 0, nmax}], {x, 0, nmax}], x] // Rest Table[DivisorSum[n, (-1)^(# + 1) &, MemberQ[{2}, Mod[n/#, 3]] &], {n, 1, 92}] CROSSREFS Cf. A001822, A048272, A364014, A364204, A364235. Sequence in context: A220115 A039924 A349218 * A275346 A037888 A052308 Adjacent sequences: A364202 A364203 A364204 * A364206 A364207 A364208 KEYWORD sign AUTHOR Ilya Gutkovskiy, Jul 14 2023 STATUS approved

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Last modified December 6 09:20 EST 2023. Contains 367600 sequences. (Running on oeis4.)