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A124534
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Row 4 of rectangular table A124530.
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7
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1, 1, 5, 25, 113, 608, 3535, 21844, 141809, 959882, 6738850, 48877221, 365145267, 2803002587, 22066904802, 177881536038, 1466278969213, 12345543329079, 106069531868783, 929158597546721, 8292429187449462, 75348425058995464
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,3
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COMMENTS
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In table A124530, the g.f. of row n, R_n(y), simultaneously satisfies: R_n(y) = Sum_{k>=0} y^k*R_k(y)^(n*k) for n>=0.
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LINKS
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Table of n, a(n) for n=0..21.
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FORMULA
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G.f.: A(x) = Sum_{n>=0} x^n*R_n(x)^(4n), where R_n(x) is the g.f. of row n in table A124530.
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PROG
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(PARI) {a(n)=local(R); R=vector(n+5, r, vector(n+5, c, if(r==1|c<=2, 1, r^(c-2)))); for(i=0, n, for(r=0, n, R[r+1]=Vec(sum(c=0, n, x^c*Ser(R[c+1])^(r*c)+O(x^(n+1)))))); R[5][n+1]}
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CROSSREFS
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Cf. A124530 (table); other rows: A124531, A124532, A124533, A124535, A124536.
Sequence in context: A183926 A092440 A196985 * A089947 A123890 A123894
Adjacent sequences: A124531 A124532 A124533 * A124535 A124536 A124537
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna, Nov 05 2006
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STATUS
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approved
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