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 A280126 Expansion of Product_{k>=1} (1 + x^(prime(k)^2))*(1 + x^(prime(k)^3)). 1
 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,62 COMMENTS Number of partitions of n into distinct parts that are squares of primes (A001248) or cubes of primes (A030078). LINKS FORMULA G.f.: Product_{k>=1} (1 + x^(prime(k)^2))*(1 + x^(prime(k)^3)). EXAMPLE a(61) = 2 because we have [49, 8, 4] and [25, 27, 9]. MATHEMATICA nmax = 120; CoefficientList[Series[Product[(1 + x^Prime[k]^2) (1 + x^Prime[k]^3), {k, 1, nmax}], {x, 0, nmax}], x] CROSSREFS Cf. A000586, A001248, A030078, A106244, A111900, A111902, A131799, A168363, A280125. Sequence in context: A082596 A296139 A321763 * A178536 A286656 A048484 Adjacent sequences:  A280123 A280124 A280125 * A280127 A280128 A280129 KEYWORD nonn AUTHOR Ilya Gutkovskiy, Dec 26 2016 STATUS approved

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Last modified August 11 23:45 EDT 2020. Contains 336434 sequences. (Running on oeis4.)