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A124545
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Row 5 of rectangular table A124540; equals the self-convolution 5-th power of A124535 (row 5 of table A124530).
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6
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1, 5, 40, 285, 1995, 13976, 98665, 704810, 5107950, 37619020, 281850156, 2149737335, 16700012890, 132177206400, 1066116496055, 8764513792396, 73445461419380, 627378087294215, 5462723243482985, 48480560040789335
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| 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
| G.f.: A(x) = [ Sum_{n>=0} x^n*R_n(x)^5 ]^5, where R_n(x) is the g.f. of row n in table A124540.
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PROG
| (PARI) {a(n)=local(R); R=vector(n+6, r, vector(n+6, c, 1)); for(i=0, n+5, for(r=0, n+5, R[r+1]=Vec(sum(c=0, n, x^c*Ser(R[c+1])^(r*c)+O(x^(n+1)))))); Vec(Ser(R[6])^5+O(x^(n+1)))[n+1]}
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CROSSREFS
| Cf. A124535; A124540 (table); other rows: A124531, A124542, A124543, A124544, A124546.
Sequence in context: A001656 A087632 A124306 * A125729 A144069 A073505
Adjacent sequences: A124542 A124543 A124544 * A124546 A124547 A124548
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KEYWORD
| nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Nov 05 2006
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