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Search: id:A112807
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| A112807 |
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Expansion of solution of functional equation. |
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+0
1
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| 1, 1, 3, 13, 66, 365, 2132, 12940, 80804, 515776, 3350165, 22071930, 147141469, 990714900, 6727506071, 46020535285, 316837676938, 2193700600205, 15265011340106, 106699930507346, 748827090415380, 5274495878205514
(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^5) is -B(-x).
Given g.f. A(x), then y=x*A(x^5) satisfies y=x+(xy)^3/(1-(xy)^5).
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PROGRAM
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(PARI) {a(n)=local(A); if(n<0, 0, A=x+O(x^6); for(k=1, n, A=x+subst(x^3/(1-x^5), x, x*A)); polcoeff(A, 5*n+1))}
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CROSSREFS
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Sequence in context: A009102 A080227 A002468 this_sequence A045743 A110530 A136784
Adjacent sequences: A112804 A112805 A112806 this_sequence A112808 A112809 A112810
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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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