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 A303348 Expansion of Product_{n>=1} (1 - 9*x^n)^(1/3). 3
 1, -3, -12, -39, -246, -1578, -11487, -84054, -635781, -4893357, -38292969, -303553209, -2432865630, -19678331838, -160427322399, -1316796234933, -10872602692581, -90242886252945, -752488383572787, -6300541703215803, -52949782408528290 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS This sequence is obtained from the generalized Euler transform in A266964 by taking f(n) = -1/3, g(n) = 9. LINKS Seiichi Manyama, Table of n, a(n) for n = 0..1000 FORMULA a(n) ~ -c * 3^(2*n-1) / (Gamma(2/3) * n^(4/3)), where c = QPochhammer[1/9]^(1/3) = 0.95703379660353017269195329... - Vaclav Kotesovec, Apr 25 2018 MAPLE seq(coeff(series(mul((1-9*x^k)^(1/3), k=1..n), x, n+1), x, n), n=0..25); # Muniru A Asiru, Apr 22 2018 PROG (PARI) N=66; x='x+O('x^N); Vec(prod(k=1, N, (1-9*x^k)^(1/3))) CROSSREFS Expansion of Product_{n>=1} (1 - b^2*x^n)^(1/b): A010815 (b=1), A303347 (b=2), this sequence (b=3). Cf. A303349, A303351. Sequence in context: A122994 A271218 A062311 * A237036 A034956 A032093 Adjacent sequences:  A303345 A303346 A303347 * A303349 A303350 A303351 KEYWORD sign AUTHOR Seiichi Manyama, Apr 22 2018 STATUS approved

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Last modified July 31 08:06 EDT 2021. Contains 346369 sequences. (Running on oeis4.)