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A124537
Main diagonal of rectangular table A124530.
1
1, 1, 3, 16, 113, 961, 9430, 104028, 1267833, 16866694, 242836861, 3758663745, 62200007243, 1095222618881, 20433071584276, 402407118276836, 8338150233939377, 181250019817152061, 4122472220802095509
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.
PROG
(PARI) a(n)=local(R); R=vector(n+1, r, vector(n+1, 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[n+1][n+1]
CROSSREFS
Cf. A124530 (table).
Sequence in context: A039751 A005419 A332024 * A355720 A305133 A368510
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Nov 05 2006
STATUS
approved