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A112482 Expansion of the solution of a functional equation. 1
1, 1, 1, 2, 4, 8, 17, 38, 87, 203, 482, 1160, 2822, 6930, 17157, 42775, 107300, 270623, 685842, 1745651, 4460450, 11437423, 29421695, 75906148, 196358971, 509209381, 1323524122, 3447340550, 8996802898, 23522607256, 61606041763, 161604774963 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Table of n, a(n) for n=1..32.

FORMULA

Series reversion of g.f. A(x) is -A(-x).

Given g.f. A(x) and B(x) = g.f. of A089796, then B(x)=x+A(x*B(x)).

G.f. A(x)=y satisfies 0=y^3+(-x-1)*y^2+(x^2+3*x-1)*y+(-x^3-x^2+x).

PROG

(PARI) {a(n)=local(A); if(n<1, 0, A=O(x); for(k=1, n, A=A^3+(-x-1)*A^2+(x^2+3*x)*A+(-x^3-x^2+x)); polcoeff(A, n))}

CROSSREFS

Sequence in context: A114199 A006196 A089796 * A193050 A107597 A082499

Adjacent sequences:  A112479 A112480 A112481 * A112483 A112484 A112485

KEYWORD

nonn

AUTHOR

Michael Somos, Sep 08 2005

STATUS

approved

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Last modified January 17 20:36 EST 2020. Contains 330987 sequences. (Running on oeis4.)