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A186186 Expansion of 1/(1-x/(1-x)*A(x/(1-x))) where A(x) is the g.f. of A002293. 0

%I

%S 1,1,3,12,63,403,2919,22833,187799,1599718,13984383,124717327,

%T 1130144932,10375309228,96290993853,901915801437,8514822062757,

%U 80939662475426

%N Expansion of 1/(1-x/(1-x)*A(x/(1-x))) where A(x) is the g.f. of A002293.

%H Vladimir Kruchinin, D. V. Kruchinin, <a href="http://arxiv.org/abs/1103.2582">Composita and their properties </a>, arXiv:1103.2582

%F a(n)=sum(m=1..n, sum(k=m..n, binomial(n-1,k-1)*m/(3*k-2*m)*binomial(4*k-3*m-1,k-m))), n>0, a(0)=1.

%K nonn

%O 0,3

%A _Vladimir Kruchinin_, Feb 14 2011

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Last modified April 23 06:16 EDT 2014. Contains 240913 sequences.