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Expansion of 1/(1-100*x)^(1/10), related to deca-factorial numbers A045757.
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%I #11 Apr 28 2018 12:47:04

%S 1,10,550,38500,2983750,244667500,20796737500,1812287125000,

%T 160840482343750,14475643410937500,1317283550395312500,

%U 120950580536296875000,11187928699607460937500

%N Expansion of 1/(1-100*x)^(1/10), related to deca-factorial numbers A045757.

%H Seiichi Manyama, <a href="/A035308/b035308.txt">Table of n, a(n) for n = 0..500</a>

%H A. Straub, V. H. Moll, T. Amdeberhan, <a href="http://dx.doi.org/10.4064/aa140-1-2">The p-adic valuation of k-central binomial coefficients</a>, Acta Arith. 140 (1) (2009) 31-41, eq (1.10)

%F a(n) = 10^n*A045757(n)/n!, n >= 1, A045757(n)=(10*n-9)(!^10) := product(10*j-9, j=1..n); G.f. (1-100*x)^(-1/10).

%Y Cf. A045757, A035024, A004993, A000984, A004987.

%K easy,nonn

%O 0,2

%A _Wolfdieter Lang_