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Search: id:A143917
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| A143917 |
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G.f. A(x) satisfies: A(x) = 1/(1-x) + x^2*A(x)*A'(x). |
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+0
2
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| 1, 1, 2, 6, 25, 133, 851, 6313, 53061, 497493, 5144500, 58161126, 713789847, 9453038227, 134405493652, 2042529150110, 33045300698761, 567165849906233, 10294218618819268, 197022941365579804, 3966001076798967837
(list; graph; listen)
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OFFSET
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0,3
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EXAMPLE
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G.f.: A(x) = 1 + x + 2*x^2 + 6*x^3 + 25*x^4 + 133*x^5 + 851*x^6 +...
A'(x) = 1 + 4*x + 18*x^2 + 100*x^3 + 665*x^4 + 5106*x^5 +...
A(x)*A'(x) = 1 + 5*x + 24*x^2 + 132*x^3 + 850*x^4 + 6312*x^5 +...
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PROGRAM
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(PARI) {a(n)=local(A=1+x+x*O(x^n)); for(i=1, n, A=1/(1-x+x*O(x^n))+x^2*A*deriv(A)); polcoeff(A, n)}
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CROSSREFS
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Cf. A143916 (variant).
Sequence in context: A030933 A100325 A020112 this_sequence A009326 A001258 A124373
Adjacent sequences: A143914 A143915 A143916 this_sequence A143918 A143919 A143920
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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), Sep 05 2008
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