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Search: id:A112806
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| A112806 |
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Expansion of solution of functional equation. |
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+0
1
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| 1, 1, 2, 6, 21, 79, 312, 1277, 5369, 23049, 100612, 445214, 1992606, 9004260, 41025315, 188259072, 869305315, 4036286518, 18832973733, 88259024068, 415252542641, 1960718710035, 9288106921038, 44129146527731
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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Given g.f. A(x), then series reversion of B(x)=x*A(x^3) is -B(-x).
Given g.f. A(x), then y=x*A(x^3) satisfies y=x+(xy)^2/(1-(xy)^3).
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PROGRAM
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(PARI) {a(n)=local(A); if(n<0, 0, A=x+O(x^4); for(k=1, n, A=x+subst(x^2/(1-x^3), x, x*A)); polcoeff(A, 3*n+1))}
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CROSSREFS
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Sequence in context: A111279 A033321 A050203 this_sequence A106223 A106228 A121988
Adjacent sequences: A112803 A112804 A112805 this_sequence A112807 A112808 A112809
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KEYWORD
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nonn
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AUTHOR
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Michael Somos, Sep 20 2005
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