A120977 G.f. satisfies: A(x) = 1 + x*A(x)^5*[A(x*A(x)^5)]^5.

1, 1, 10, 170, 3745, 96960, 2814752, 89221360, 3037327145, 109825686370, 4185287088735, 167139924222426, 6964610755602495, 301800832258018835, 13564159649547824735, 630916661388096564620, 30316241123672291911875

Offset

0,3

Links

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

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)^5) and A(x/G(x)^5) = G(x), where G(x) is the g.f. of A120976 and satisfies G(x/G(x)^5) = 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)^5))[ #G]); A=Vec(((Ser(G)-1)/x)^(1/5)); A[n+1]}

Crossrefs

Cf. A120976; variants: A120971, A120973, A120975.

Sequence in context: A203532 A325911 A246501 * A034830 A098345 A366299

Adjacent sequences: A120974 A120975 A120976 * A120978 A120979 A120980

Keyword

nonn

Author

Paul D. Hanna, Jul 20 2006

Status

approved