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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
OFFSET
0,2
LINKS
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
D-finite with recurrence: n*a(n) +6*(-288*n+289)*a(n-1)=0. - R. J. Mathar, Jan 17 2020
PROG
(PARI) N=20; x='x+O('x^N); Vec((1-1728*x)^(1/288))
CROSSREFS
Sequence in context: A343096 A066061 A028366 * A115431 A116117 A116135
KEYWORD
sign
AUTHOR
Seiichi Manyama, Jun 13 2018
STATUS
approved