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A303055 Expansion of (1-504*x)^(1/12). 5

%I #61 Jan 30 2020 21:29:18

%S 1,-42,-9702,-3124044,-1148086170,-453264419916,-187198205425308,

%T -79746435511181208,-34749509273997211386,-15405615778138763714460,

%U -6923283730695560413278324,-3145688371456037358687733032,-1442298118312593128958325595172

%N Expansion of (1-504*x)^(1/12).

%H Seiichi Manyama, <a href="/A303055/b303055.txt">Table of n, a(n) for n = 0..371</a>

%F a(n) = 42^n/n! * Product_{k=0..n-1} (12*k - 1) for n > 0.

%F a(n) ~ -504^n / (12 * Gamma(11/12) * n^(13/12)). - _Vaclav Kotesovec_, Jun 16 2018

%F D-finite with recurrence: n*a(n) +42*(-12*n+13)*a(n-1)=0. - _R. J. Mathar_, Jan 20 2020

%o (PARI) N=20; x='x+O('x^N); Vec((1-504*x)^(1/12))

%Y Cf. A109817.

%K sign,easy

%O 0,2

%A _Seiichi Manyama_, Jun 15 2018

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Last modified May 16 11:36 EDT 2024. Contains 372552 sequences. (Running on oeis4.)