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A112113 G.f. A(x) satisfies A(A(A(..(A(x))..))) = B(x) (6th self-COMPOSE of A) such that the coefficients of B(x) consist only of numbers {1,2,3,..,6}, with B(0) = 0. 3
1, 1, -4, 28, -236, 2159, -20309, 189387, -1696165, 14092143, -103605487, 621674576, -2503235595, 1311059747, 58857366823, -625935119621, 20416246154579, -595556154741631, 9331660766550500, -50486760747953952, -816026626910008666 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..21.

EXAMPLE

A(x) = x + x^2 - 4*x^3 + 28*x^4 - 236*x^5 + 2159*x^6 +...

where A(A(A(A(A(A(x)))))) =

x + 6*x^2 + 6*x^3 + 3*x^4 + 4*x^5 + 4*x^6 + 6*x^7 + 2*x^8 +...

is the g.f. of A112112.

PROG

(PARI) {a(n, m=6)=local(F=x+x^2+x*O(x^n), G); if(n<1, 0, for(k=3, n, G=F+x*O(x^k); for(i=1, m-1, G=subst(F, x, G)); F=F-((polcoeff(G, k)-1)\m)*x^k); return(polcoeff(F, n, x)))}

CROSSREFS

Cf. A112112, A112104-A112111, A112114-A112127.

Sequence in context: A030444 A093877 A151830 * A188266 A192625 A199561

Adjacent sequences:  A112110 A112111 A112112 * A112114 A112115 A112116

KEYWORD

sign

AUTHOR

Paul D. Hanna, Aug 27 2005

STATUS

approved

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Last modified July 4 22:27 EDT 2022. Contains 355086 sequences. (Running on oeis4.)