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A088713
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G.f. A(x) satisfies A(x/A(x)) = 1/(1-x).
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6
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1, 1, 2, 6, 24, 118, 674, 4308, 30062, 225266, 1791964, 15009118, 131566314, 1201452248, 11389283418, 111761444078, 1132680800640, 11834071103246, 127261591139010, 1406778021294220, 15967144849210158, 185897394076705298
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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FORMULA
| Also g.f. satisfies: A(x) = 1 + x*A(x)*A(1-1/A(x)).
G.f.: A(x*g(x)) = g(x) = (1-1/A(x))/x where g(x) is the g.f. of A088714.
Contribution from Paul D. Hanna (pauldhanna(AT)juno.com), Dec 06 2009: (Start)
G.f. satisfies: A(x) = 1 + A(x)*Series_Reversion(x/A(x)).
G.f. satisfies: A( (x/(1+x))/A(x/(1+x)) ) = 1 + x.
(End)
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PROG
| (PARI) {a(n)=local(A=1+x); for(i=1, n, A=(1+A*serreverse(x/(A+x*O(x^n))))^1); polcoeff(A, n)} [From Paul D. Hanna (pauldhanna(AT)juno.com), Dec 06 2009]
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CROSSREFS
| Cf. A088714.
Cf. variants: A154677, A168448, A168449, A168478, A168479. [From Paul D. Hanna (pauldhanna(AT)juno.com), Dec 06 2009]
Sequence in context: A177518 A164871 A079106 * A193938 A135106 A005394
Adjacent sequences: A088710 A088711 A088712 * A088714 A088715 A088716
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KEYWORD
| nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Oct 12 2003
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