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Search: id:A113299
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| A113299 |
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Expansion of solution to a functional equation. |
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+0
1
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| 1, 3, 10, 33, 110, 366, 1219, 4059, 13518, 45018, 149924, 499290, 1662787, 5537577, 18441799, 61416729, 204536183, 681166986, 2268490929, 7554756990, 25159612832, 83789077212, 279042826065, 929296530558, 3094836925438
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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G.f. A(x) = x/((1-B(x))^2-x) where B(x) = g.f. for A001190.
G.f. A(x) satisfies 0=f(A(x), A(x^2)) where f(u, v)=v(1+6u)-u^2(1-8v).
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PROGRAM
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(PARI) {a(n)=local(A, m); if(n<1, 0, A=1+O(x); m=1; while(m<n, m*=2; A=x*subst(A, x, x^2); A=sqrt(A/(1-2*A)/x)); A*=x*A; A/=(1-A); polcoeff(A, n))}
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CROSSREFS
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Sequence in context: A018920 A006190 A020704 this_sequence A126931 A071722 A058987
Adjacent sequences: A113296 A113297 A113298 this_sequence A113300 A113301 A113302
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KEYWORD
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nonn
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AUTHOR
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Michael Somos, Oct 24 2005
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