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A144009
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E.g.f. satisfies: A'(x) = (1 + x*A(x))^4 with A(0)=1.
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1
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1, 1, 4, 20, 144, 1352, 15360, 206688, 3214848, 56694144, 1118486016, 24409113600, 583825803264, 15188350556160, 426989455147008, 12899931159564288, 416802018563850240, 14342136885537472512, 523630043964811247616
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| 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
| E.g.f. satisfies: A(x) = 1 + Integral (1 + x*A(x))^4 dx.
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PROG
| (PARI) {a(n)=local(A=1+x); for(i=0, n, A=1+intformal((1+x*A+x*O(x^n))^4)); n!*polcoeff(A, n)}
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CROSSREFS
| Cf. A144008.
Sequence in context: A004204 A160567 A034216 * A117887 A082988 A001171
Adjacent sequences: A144006 A144007 A144008 * A144010 A144011 A144012
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KEYWORD
| nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Sep 10 2008
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