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Search: id:A144008
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| A144008 |
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E.g.f. satisfies: A'(x) = (1 + x*A(x))^3 with A(0)=1. |
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+0
2
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| 1, 1, 3, 12, 69, 504, 4455, 46512, 558873, 7599744, 115401915, 1935368640, 35529636285, 708677828352, 15261101987391, 352891976935680, 8721014464717425, 229385791746109440, 6398158947146344755
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Compare the definition of the e.g.f. A(x) to the trivial statement:
if F(x) = 1/(1-x) then F'(x) = (1 + x*F(x))^2.
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FORMULA
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E.g.f. satisfies: A(x) = 1 + Integral (1 + x*A(x))^3 dx.
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PROGRAM
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(PARI) {a(n)=local(A=1+x); for(i=0, n, A=1+intformal((1+x*A+x*O(x^n))^3)); n!*polcoeff(A, n)}
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CROSSREFS
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Cf. A144009.
Sequence in context: A004127 A058115 A101313 this_sequence A102078 A113341 A125862
Adjacent sequences: A144005 A144006 A144007 this_sequence A144009 A144010 A144011
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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 10 2008
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