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A120975
G.f. satisfies: A(x) = 1 + x*A(x)^4*[A(x*A(x)^4)]^4.
4
1, 1, 8, 108, 1888, 38798, 894308, 22517256, 609112756, 17507219813, 530495478900, 16850219461706, 558608940038072, 19263089278722726, 689119527976265884, 25519081467271687938, 976447764170903902364
OFFSET
0,3
FORMULA
G.f. A(x) satisfies: A(x) = G(G(x)-1), A(G(x)-1) = G(A(x)-1), A(x) = G(x*A(x)^4) and A(x/G(x)^4) = G(x), where G(x) is the g.f. of A120974 and satisfies G(x/G(x)^4) = 1 + x.
PROG
(PARI) {a(n)=local(A, G=[1, 1]); for(i=1, n, G=concat(G, 0); G[ #G]=-Vec(subst(Ser(G), x, x/Ser(G)^4))[ #G]); A=Vec(((Ser(G)-1)/x)^(1/4)); A[n+1]}
CROSSREFS
Cf. A120974; variants: A120971, A120973, A120977.
Sequence in context: A272497 A215129 A234571 * A193678 A265277 A336828
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Jul 20 2006
STATUS
approved