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A112111 G.f. A(x) satisfies A(A(A(A(A(x))))) = B(x) (5th self-COMPOSE of A) such that the coefficients of B(x) consist only of numbers {1,2,3,4,5}, with B(0) = 0. 3
1, 1, -3, 17, -115, 841, -6288, 46174, -320366, 1997348, -10216611, 32418767, 68603755, -1909624513, 15239954041, -103620859984, 1499179409198, -25808959095992, 258001631302410, -239530586418995, -25424691109062239, 84868851253494310 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..22.

EXAMPLE

A(x) = x + x^2 - 3*x^3 + 17*x^4 - 115*x^5 + 841*x^6 -6288*x^7 +...

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

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

is the g.f. of A112110.

PROG

(PARI) {a(n, m=5)=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. A112110, A112104-A112109, A112112-A112127.

Sequence in context: A249921 A174404 A271611 * A074554 A074544 A165976

Adjacent sequences:  A112108 A112109 A112110 * A112112 A112113 A112114

KEYWORD

sign

AUTHOR

Paul D. Hanna, Aug 27 2005

STATUS

approved

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Last modified April 18 03:14 EDT 2021. Contains 343072 sequences. (Running on oeis4.)