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A139715 G.f. A(x) satisfies: A(x) = G(G(x)) where G(x) = x - A(x)^2 = g.f. of A139702. 0
1, -2, 10, -69, 568, -5250, 52792, -566830, 6420640, -76095972, 938077528, -11975951312, 157808048792, -2140767942096, 29835756120952, -426490803168368, 6244476409802008, -93541594534237356, 1432261132629484052, -22397290780155132728 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

FORMULA

Series_Reversion(A(x)) = F(F(x)) = F(x) + x^2 where F(x) = g.f. of A138740.

EXAMPLE

A(x) = x - 2*x^2 + 10*x^3 - 69*x^4 + 568*x^5 - 5250*x^6 + 52792*x^7 -+...

Let G(x) = x - A(x)^2 = g.f. of A139702:

G(x) = x - x^2 + 4*x^3 - 24*x^4 + 178*x^5 - 1512*x^6 + 14152*x^7 -+...

then A(x) = G(G(x)).

PROG

(PARI) {a(n)=local(A=x); if(n<1, 0, for(i=1, n, A=serreverse(x + (A+x*O(x^n))^2)); polcoeff(subst(A, x, A+x*O(x^n)), n))}

CROSSREFS

Cf. A139702, A138740.

Sequence in context: A104098 A056755 A123617 * A051575 A121201 A166076

Adjacent sequences:  A139712 A139713 A139714 * A139716 A139717 A139718

KEYWORD

sign

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Apr 30 2008

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Last modified February 17 02:08 EST 2012. Contains 205978 sequences.