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Search: id:A112121
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| A112121 |
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G.f. A(x) satisfies A(A(A(..(A(x))..))) = B(x) (10-th self-COMPOSE of A) such that the coefficients of B(x) consist only of numbers {1,2,3,..,10}, with B(0) = 0. |
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4
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| 1, 1, -8, 104, -1619, 27437, -482626, 8553639, -149434331, 2527339944, -40748011084, 619534898788, -8892967520397, 124088656925363, -1797865061490547, 28140512084643142, -424643873334235802, 4269156014010214570, 19251023484926369328, -1456780704021544219838
(list; graph; listen)
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OFFSET
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1,3
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EXAMPLE
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A(x) = x + x^2 - 8*x^3 + 104*x^4 - 1619*x^5 + 27437*x^6 +...
where A(A(A(A(A(A(A(A(A(A(x)))))))))) =
x + 10*x^2 + 10*x^3 + 5*x^4 + 10*x^5 + 5*x^6 + 8*x^7 +...
is the g.f. of A112120.
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PROGRAM
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(PARI) {a(n, m=10)=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)))}
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CROSSREFS
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Cf. A112120, A112104-A112119, A112122-A112127.
Sequence in context: A109774 A001657 A106260 this_sequence A141383 A034300 A146346
Adjacent sequences: A112118 A112119 A112120 this_sequence A112122 A112123 A112124
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KEYWORD
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sign
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Aug 27 2005
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