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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 A116135 A011788

Adjacent sequences:  A305883 A305884 A305885 * A305887 A305888 A305889

KEYWORD

sign

AUTHOR

Seiichi Manyama, Jun 13 2018

STATUS

approved

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Last modified December 18 12:06 EST 2018. Contains 318229 sequences. (Running on oeis4.)