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A292811
G.f.: A(x) satisfies: A( A(x) - x ) = 2*x + 9*x^2.
4
2, 3, -6, 21, -72, 96, 1740, -22914, 153162, -282138, -6414408, 71836596, -70221204, -5275053936, 29070675696, 561036692121, -6339036232368, -82893851049960, 1603373884497120, 14900133962766312, -462354052414272480, -3413078936604832032, 157313543770476035136, 1032487368620917863024, -63597712357849352307264, -419977031579672070661344, 30319524013631926908243168, 227333388435264016786353072
OFFSET
1,1
LINKS
EXAMPLE
G.f.: A(x) = 2*x + 3*x^2 - 6*x^3 + 21*x^4 - 72*x^5 + 96*x^6 + 1740*x^7 - 22914*x^8 + 153162*x^9 - 282138*x^10 - 6414408*x^11 + 71836596*x^12 - 70221204*x^13 - 5275053936*x^14 +...
such that A( A(x) - x ) = 2*x + 9*x^2.
PROG
(PARI) {a(n) = my(A=x, V=[2, 3]); for(i=1, n, V = concat(V, 0); A=x*Ser(V); V[#V] = Vec( subst(G=A, x, A - x) )[#V]/(-3) ); V[n]}
for(n=1, 30, print1(a(n), ", "))
CROSSREFS
KEYWORD
sign
AUTHOR
Paul D. Hanna, Sep 23 2017
STATUS
approved