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 A286935 Number of partitions of n into primes which are the difference of two consecutive cubes (A002407). 1
 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 2, 1, 1, 2, 1, 3, 1, 2, 1, 1, 2, 1, 3, 1, 2, 1, 2, 3, 2, 3, 1, 3, 2, 2 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,57 LINKS G. C. Greubel, Table of n, a(n) for n = 0..1000 Eric Weisstein's World of Mathematics, Cuban Prime Eric Weisstein's World of Mathematics, Hex Number FORMULA G.f.: Product_{k>=1} 1/(1 - x^A002407(k)). EXAMPLE a(56) = 2 because we have [37, 19] and [7, 7, 7, 7, 7, 7, 7, 7]. MATHEMATICA nmax = 100; CoefficientList[Series[Product[1/(1 - x^k), {k, Select[(Range[nmax] + 1)^3 - Range[nmax]^3, PrimeQ]}], {x, 0, nmax}], x] CROSSREFS Cf. A000607, A002407, A003215, A280953, A286934. Sequence in context: A064744 A135997 A026609 * A090340 A287364 A117162 Adjacent sequences:  A286932 A286933 A286934 * A286936 A286937 A286938 KEYWORD nonn AUTHOR Ilya Gutkovskiy, May 16 2017 STATUS approved

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Last modified May 20 03:10 EDT 2019. Contains 323412 sequences. (Running on oeis4.)