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A124533
Row 3 of rectangular table A124530.
7
1, 1, 4, 16, 71, 351, 1891, 10888, 66139, 420235, 2775981, 18978873, 133828922, 970678790, 7226115267, 55115404005, 430080085093, 3429311454089, 27912555377062, 231710034354364, 1960247357996533, 16889105788701591
OFFSET
0,3
COMMENTS
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.
FORMULA
G.f.: A(x) = Sum_{n>=0} x^n*R_n(x)^(3n), where R_n(x) is the g.f. of row n in table A124530.
PROG
(PARI) a(n)=local(R); R=vector(n+4, r, vector(n+4, 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[4][n+1]
CROSSREFS
Cf. A124530 (table); other rows: A124531, A124532, A124534, A124535, A124536.
Sequence in context: A373959 A231373 A161797 * A227034 A224660 A330610
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Nov 05 2006
STATUS
approved