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A090360 Satisfies A^3 = BINOMIAL(A090358^2), where A090358^6 = BINOMIAL(A090358^5). 2

%I

%S 1,1,5,53,855,18471,500651,16334075,623157898,27214793210,

%T 1338641476882,73220527990322,4408033139790830,289619155572769806,

%U 20620846574162157750,1581511116725744872022,129981009079318502310677

%N Satisfies A^3 = BINOMIAL(A090358^2), where A090358^6 = BINOMIAL(A090358^5).

%C See comments in A090358.

%H Vaclav Kotesovec, <a href="/A090360/b090360.txt">Table of n, a(n) for n = 0..310</a>

%F a(n) ~ (n-1)! / (75/2 * (log(6/5))^(n+1)). - _Vaclav Kotesovec_, Nov 19 2014

%o (PARI) {a(n)=local(A); if(n<1,0,A=1+x+x*O(x^n); for(k=1,n,B=subst(A^5,x,x/(1-x))/(1-x)+x*O(x^n); A=A-A^6+B);B=subst(A^2,x,x/(1-x))/(1-x)+x*O(x^n); polcoeff(B^(1/3),n,x))}

%Y Cf. A090358.

%K nonn

%O 0,3

%A _Paul D. Hanna_, Nov 26 2003

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Last modified January 18 06:36 EST 2022. Contains 350452 sequences. (Running on oeis4.)