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Search: id:A112105
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| A112105 |
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G.f. A(x) satisfies A(A(x)) = B(x) such that the coefficients of B(x) consist of all 1's and 2's, with A(0) = 0. |
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+0
4
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| 1, 1, 0, 0, 1, -3, 7, -10, -5, 84, -248, 90, 2160, -7541, -5846, 122824, -186259, -2036532, 8665409, 36714511, -345711246, -517802065, 14415153844, -9423161197, -653074772917, 1896978939457, 32374651932128, -184814895196023, -1733326272860598, 16839263882542991, 96742403684106435
(list; graph; listen)
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OFFSET
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1,6
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EXAMPLE
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A(x) = x + x^2 + x^5 - 3*x^6 + 7*x^7 - 10*x^8 - 5*x^9 +...
where A(A(x)) = x + 2*x^2 + 2*x^3 + x^4 + 2*x^5 + x^6 +... is the g.f. of A112104.
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PROGRAM
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(PARI) {a(n, m=2)=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. A112104, A112106-A112127.
Sequence in context: A152607 A118559 A127789 this_sequence A065501 A144385 A144399
Adjacent sequences: A112102 A112103 A112104 this_sequence A112106 A112107 A112108
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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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