A385208 G.f. A(x) satisfies A(x) = ( 1 + 49*x*A(x)^8 )^(1/7).

1, 7, 245, 11319, 593047, 33429123, 1977326743, 121034349975, 7601257418678, 487008549508481, 31705597390195820, 2091361378163375955, 139468121325692304390, 9387480337647754305649, 636914947847207765431080, 43512658997082838985965655, 2990750175103769856729417627

Offset: 0

Author

Seiichi Manyama, Jun 21 2025

Keywords

• nonn

Crossrefs

Cf. A078531, A078532, A078533, A078534, A078535.

Cf. A385206, A385207.

Programs

PARI

a(n) = 49^n*binomial(8*n/7+1/7, n)/(8*n+1);

Formula

a(n) = 49^n * binomial(8*n/7+1/7,n)/(8*n+1).

G.f. A(x) satisfies A(x) = 1/A(-x*A(x)^9).

G.f.: ( (1/x) * Series_Reversion(x/(1+49*x)^(8/7)) )^(1/8).