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 A302234 Expansion of Product_{k>=1} (1 - x^k)/(1 - x^prime(k)). 2
 1, -1, 0, 0, -1, 1, -1, 1, -1, 0, 1, 0, 0, 1, 0, -1, 1, 0, 0, 0, 0, -1, 1, -1, 1, -2, 1, -1, 0, 1, -1, 1, -2, 2, -1, -1, 2, -1, -1, 2, -2, 2, -1, 1, 0, -1, 1, 0, 1, -2, 2, 0, 0, 2, -1, 0, 0, 1, 0, 0, 1, -2, 0, -1, 0, 0, -2, 2, -3, 0, 2, -2, 1, -1, 1, -2, 1, -1, -1, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,26 COMMENTS The difference between the number of partitions of n into an even number of distinct nonprime parts and the number of partitions of n into an odd number of distinct nonprime parts. Convolution of the sequences A000607 and A010815. LINKS FORMULA G.f.: Product_{k>=1} (1 - x^A018252(k)). MATHEMATICA nmax = 80; CoefficientList[Series[Product[(1 - x^k)/(1 - x^Prime[k]), {k, 1, nmax}], {x, 0, nmax}], x] nmax = 80; CoefficientList[Series[Product[(1 - Boole[!PrimeQ[k]] x^k), {k, 1, nmax}], {x, 0, nmax}], x] CROSSREFS Cf. A000607, A002095, A010815, A018252, A046675, A096258, A302236. Sequence in context: A326017 A290307 A206588 * A026920 A060763 A131576 Adjacent sequences:  A302231 A302232 A302233 * A302235 A302236 A302237 KEYWORD sign AUTHOR Ilya Gutkovskiy, Apr 03 2018 STATUS approved

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Last modified August 15 13:27 EDT 2020. Contains 336504 sequences. (Running on oeis4.)