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A229189 G.f. satisfies: A(x) = Sum_{n>=0} x^n*A(x)^n * Product_{k=1..n} (A(x)^k - x^k). 0
1, 1, 2, 9, 44, 239, 1375, 8263, 51357, 327693, 2135950, 14170571, 95427286, 650944504, 4490552235, 31288674796, 219971575861, 1559144159064, 11134345158295, 80071382287309, 579625552498596, 4222207701924925, 30942404146965589, 228099487538025285, 1691276257040925428 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..24.

EXAMPLE

G.f.: A(x) = 1 + x + 2*x^2 + 9*x^3 + 44*x^4 + 239*x^5 + 1375*x^6 + 8263*x^7 +...

where g.f. A = A(x) satisfies:

A(x) = 1 + x*A*(A-x) + x^2*A^2*(A-x)*(A^2-x^2) + x^3*A^3*(A-x)*(A^2-x^2)*(A^3-x^3) + x^4*A^4*(A-x)*(A^2-x^2)*(A^3-x^3)*(A^4-x^4) + x^5*A^5*(A-x)*(A^2-x^2)*(A^3-x^3)*(A^4-x^4)*(A^5-x^5) +...

PROG

(PARI) {a(n)=local(A=1+x); for(i=1, n, A=1+sum(m=1, n, x^m*A^m*prod(k=1, m, A^k-x^k +x*O(x^n)))); polcoeff(A, n)}

for(n=0, 40, print1(a(n), ", "))

CROSSREFS

Cf. A229182.

Sequence in context: A124889 A317134 A295809 * A246812 A108308 A119855

Adjacent sequences:  A229186 A229187 A229188 * A229190 A229191 A229192

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Sep 15 2013

STATUS

approved

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Last modified April 4 06:59 EDT 2020. Contains 333213 sequences. (Running on oeis4.)