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Search: id:A088792
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| A088792 |
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G.f. satisfies: A(x)^2*(1-x) = A(x*A(x)). |
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+0
2
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| 1, 1, 2, 7, 38, 279, 2535, 27106, 330998, 4526827, 68402684, 1130591607, 20282026273, 392427087780, 8146462590683, 180629845193090, 4261044215912232, 106571080784076813, 2817142524095598771
(list; graph; listen)
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OFFSET
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0,3
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EXAMPLE
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A(x) = 1 + x + 2*x^2 + 7*x^3 + 38*x^4 + 279*x^5 + 2535*x^6 +...
A(x)^2 = 1 + 2*x + 5*x^2 + 18*x^3 + 94*x^4 + 662*x^5 + 5829*x^6 +...
A(x*A(x)) = 1 + x + 3*x^2 + 13*x^3 + 76*x^4 + 568*x^5 + 5167*x^6 +...
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PROGRAM
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(PARI) {a(n)=local(A, m); if(n<1, n==0, m=1; A=1+x; for(i=1, n, A=subst(A, x, x*A+x*O(x^n))/(1-x)/A); polcoeff(A, n))}
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CROSSREFS
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Cf. A120056.
Adjacent sequences: A088789 A088790 A088791 this_sequence A088793 A088794 A088795
Sequence in context: A036432 A094431 A032109 this_sequence A114160 A084552 A094664
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Oct 16 2003; corrected Jun 05 2006
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