A182314 G.f. satisfies: A(x) = 1 + x*A(A(x)^2 - 1).

1, 1, 2, 13, 174, 4232, 182382, 14175046, 2045373678, 562261694364, 299983681820740, 314433086095052371, 652379184283729238186, 2691298717301069744228618, 22133007749002207321732828222, 363389633981231330655355989037627, 11920985732676951145747564507103687806

Offset

0,3

Links

Table of n, a(n) for n=0..16.

Example

G.f.: A(x) = 1 + x + 2*x^2 + 13*x^3 + 174*x^4 + 4232*x^5 + 182382*x^6 +...
Related expansions:
A(x)^2 = 1 + 2*x + 5*x^2 + 30*x^3 + 378*x^4 + 8864*x^5 + 374093*x^6 +...
A(A(x)^2 - 1) = 1 + 2*x + 13*x^2 + 174*x^3 + 4232*x^4 + 182382*x^5 +...

Prog

(PARI) {a(n)=local(A=1+x+x*O(x^n)); for(i=1, n, A=1+x*subst(A, x, A^2-1+x*O(x^n))); polcoeff(A, n)}
for(n=0, 25, print1(a(n), ", "))

Crossrefs

Cf. A182224, A120970.

Sequence in context: A088316 A006905 A119400 * A268988 A183606 A366194

Adjacent sequences: A182311 A182312 A182313 * A182315 A182316 A182317

Keyword

nonn

Author

Paul D. Hanna, Apr 24 2012

Status

approved