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 A305886 Expansion of (1 - 1728*x)^(1/288). 5
 1, -6, -5166, -5940900, -7690495050, -10622111763060, -15285218827043340, -22626491069403298440, -34194284628635734767450, -52499624999832064779624900, -81615917024738927906404869540, -128166668244121840059567065130360 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Seiichi Manyama, Table of n, a(n) for n = 0..310 FORMULA a(n) = 6^n/n! * Product_{k=0..n-1} (288*k - 1) for n > 0. a(n) = -1728^n * Gamma(n - 1/288) / (288 * Gamma(287/288) * Gamma(n+1)). - Vaclav Kotesovec, Jun 14 2018 a(n) ~ -2^(6*n - 5) * 3^(3*n - 2) / (Gamma(287/288) * n^(289/288)). - Vaclav Kotesovec, Jun 16 2018 PROG (PARI) N=20; x='x+O('x^N); Vec((1-1728*x)^(1/288)) CROSSREFS Cf. A004996, A289366. Sequence in context: A226499 A066061 A028366 * A115431 A116117 A116135 Adjacent sequences:  A305883 A305884 A305885 * A305887 A305888 A305889 KEYWORD sign AUTHOR Seiichi Manyama, Jun 13 2018 STATUS approved

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Last modified October 18 08:08 EDT 2019. Contains 328146 sequences. (Running on oeis4.)