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 A262948 Expansion of Product_{k>=1} (1 + x^(3*k-1))^(3*k-1). 6
 1, 0, 2, 0, 1, 5, 0, 10, 8, 5, 26, 11, 28, 62, 24, 101, 111, 77, 260, 202, 268, 583, 382, 761, 1165, 847, 1940, 2198, 2061, 4346, 4084, 5078, 9039, 7844, 11978, 17620, 15721, 26648, 33219, 32894, 56000, 61494, 69653, 111884, 114265, 146557, 214864, 214967 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..10000 FORMULA a(n) ~ exp(3 * 2^(-4/3) * Zeta(3)^(1/3) * n^(2/3)) * Zeta(3)^(1/6) / (2^(7/12) * sqrt(3*Pi) * n^(2/3)). MATHEMATICA nmax=60; CoefficientList[Series[Product[(1 + x^(3*k-1))^(3*k-1), {k, 1, nmax}], {x, 0, nmax}], x] CROSSREFS Cf. A262736, A262878, A262884, A262924, A262928, A262949. Sequence in context: A092583 A321619 A285212 * A193471 A351645 A182931 Adjacent sequences: A262945 A262946 A262947 * A262949 A262950 A262951 KEYWORD nonn AUTHOR Vaclav Kotesovec, Oct 05 2015 STATUS approved

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Last modified August 9 20:04 EDT 2024. Contains 375044 sequences. (Running on oeis4.)