|
Search: id:A112111
|
|
|
| A112111 |
|
G.f. A(x) satisfies A(A(A(A(A(x))))) = B(x) (5-th self-COMPOSE of A) such that the coefficients of B(x) consist only of numbers {1,2,3,4,5}, with B(0) = 0. |
|
+0
4
|
|
| 1, 1, -3, 17, -115, 841, -6288, 46174, -320366, 1997348, -10216611, 32418767, 68603755, -1909624513, 15239954041, -103620859984, 1499179409198, -25808959095992, 258001631302410, -239530586418995, -25424691109062239, 84868851253494310
(list; graph; listen)
|
|
|
OFFSET
|
1,3
|
|
|
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.
|
|
PROGRAM
|
(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: A074556 A119259 A131204 this_sequence A074554 A074544 A121572
Adjacent sequences: A112108 A112109 A112110 this_sequence A112112 A112113 A112114
|
|
KEYWORD
|
sign
|
|
AUTHOR
|
Paul D. Hanna (pauldhanna(AT)juno.com), Aug 27 2005
|
|
|
Search completed in 0.002 seconds
|
