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Search: id:A124548
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| 1, 2, 15, 156, 1995, 29658, 495922, 9140344, 183201255, 3954149640, 91212812647, 2235185965152, 57899260705117, 1578806923315370, 45158965541429475, 1350797823601721136, 42141425201135893387, 1367978583480857293770
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OFFSET
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0,2
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COMMENT
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In table A124540, the g.f. of row n, R_n(y), simultaneously satisfies: R_n(y) = [ Sum_{k>=0} y^k*R_k(y)^n ]^n for n>=0.
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FORMULA
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a(n) is divisible by (n+1): a(n)/(n+1) = A124549(n).
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PROGRAM
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(PARI) {a(n)=local(R); R=vector(n+2, r, vector(n+2, c, if(r==1|c<=2, 1, r^(c-2)))); for(i=0, n+1, for(r=0, n+1, R[r+1]=Vec(sum(c=0, n, x^c*Ser(R[c+1])^(r*c)+O(x^(n+2)))))); Vec(Ser(R[n+2])^(n+1)+O(x^(n+2)))[n+1]}
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CROSSREFS
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Cf. A124540, A124549, A124547.
Sequence in context: A001854 A060226 A002103 this_sequence A139085 A140809 A153852
Adjacent sequences: A124545 A124546 A124547 this_sequence A124549 A124550 A124551
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Nov 05 2006
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