A277040 Limit of the coefficient of x^(3^m + n) in B(x)^(n+1) as m grows, where B(x) = Sum_{k>=0} x^(3^k).

1, 2, 3, 8, 25, 66, 357, 1968, 8073, 135260, 1271941, 7376172, 113614228, 1258281038, 8941092630

Offset: 0

Author

Paul D. Hanna, Sep 25 2016

Keywords

• nonn
• more

Comments

The g.f. of A277041(n) = a(n)/(n+1) appears to have an interesting functional interpretation.

Crossrefs

Cf. A144690, A277041, A277042, A277043.

Programs

PARI

{ a(n) = local(m=n + ceil(log(n+3)/log(3)), B=sum(k=0, m, x^(3^k))); polcoeff((B+O(x^(3^m+n+1)))^(n+1), 3^m+n) }
for(n=0,15,print1(a(n),", "))

Formula

a(n) = (n+1)*A277041(n).