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A124464 Row 4 of rectangular table A124460. 8

%I #3 Mar 30 2012 18:37:01

%S 1,5,19,73,302,1325,6032,28193,134825,659011,3290110,16764206,

%T 87103106,461090076,2484768459,13621130998,75906831145,429768775851,

%U 2470872560536,14418770507660,85367306874021,512604419523512

%N Row 4 of rectangular table A124460.

%F G.f.: A(x) = Sum_{n>=0} x^n*R_n(x)^4, where R_n(x) is the g.f. of row n in table A124460 and satisfies: R_n(x) = Sum_{k>=0} x^k * R_k(x)^n for n>=0.

%o (PARI) {a(n)=local(m=max(n,4),R=vector(m+1,r,vector(m+1,c,binomial(r+c-2,c-1)))); for(i=0,m,for(r=0,m,R[r+1]=Vec(sum(c=0,m,x^c*Ser(R[c+1])^r+O(x^(m+1))))));R[5][n+1]}

%Y Cf. A124460 (table); other rows: A124461, A124462, A124463, A124465, A124466.

%K nonn

%O 0,2

%A _Paul D. Hanna_, Nov 03 2006

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Last modified December 2 04:17 EST 2023. Contains 367506 sequences. (Running on oeis4.)