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Search: id:A112123
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| A112123 |
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G.f. A(x) satisfies A(A(A(..(A(x))..))) = B(x) (11-th self-COMPOSE of A) such that the coefficients of B(x) consist only of numbers {1,2,3,..,11}, with B(0) = 0. |
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4
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| 1, 1, -9, 131, -2279, 43161, -849269, 16866851, -331093879, 6316647841, -115528321709, 2007845708091, -33238536213650, 537616162919975, -8956186512464320, 158920634214746905, -2786226293720310297, 38547971903938600271, -198392033014273765511
(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 - 9*x^3 + 131*x^4 - 2279*x^5 + 43161*x^6 - 849269*x^7 +...
where A(A(A(A(A(A(A(A(A(A(A(x))))))))))) =
x + 11*x^2 + 11*x^3 + 11*x^4 + 11*x^5 + 11*x^6 + 11*x^7 +...
is the g.f. of A112122.
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PROGRAM
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(PARI) {a(n, m=11)=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. A112122, A112104-A112121, A112124-A112127.
Sequence in context: A064746 A075762 A060944 this_sequence A167253 A097999 A089547
Adjacent sequences: A112120 A112121 A112122 this_sequence A112124 A112125 A112126
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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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