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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
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
Sequence in context: A249921 A174404 A271611 * A365856 A074554 A367945
KEYWORD
sign
AUTHOR
Paul D. Hanna, Aug 27 2005
STATUS
approved

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Last modified March 28 05:39 EDT 2024. Contains 371235 sequences. (Running on oeis4.)