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A090364 Convolution of this sequence with its binomial transform equals the second iteration of the binomial transform upon this sequence. 0

%I

%S 1,1,3,13,79,633,6363,77301,1102791,18070705,334337203,6890754093,

%T 156506187679,3882859101289,104459523189387,3028574143010661,

%U 94129826448658551,3121967981131094049,110053554178639814499

%N Convolution of this sequence with its binomial transform equals the second iteration of the binomial transform upon this sequence.

%F G.f.: A(x) = A(x/(1-2x))/A(x/(1-x))*(1-x)/(1-2x).

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

%K nonn

%O 0,3

%A _Paul D. Hanna_, Nov 26 2003

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Last modified May 9 13:42 EDT 2021. Contains 343742 sequences. (Running on oeis4.)