A142967 Row sums of triangle A142963.

1, 3, 15, 111, 1071, 12663, 177255, 2866671, 52587711, 1078805223, 24470577495, 608113846431, 16429992037551, 479502707791383, 15032820820737735, 503852219871917391, 17978716725920562591, 680458944566818819143, 27227452811905815729975, 1148414905826479180087551

Offset: 1

Author

Wolfdieter Lang, Sep 15 2008

Keywords

• nonn
• easy

Crossrefs

Cf. A142963, A211399.

Formula

a(n) = Sum_{m=0..n-1} A142963(n,m).

a(n) = Sum_{k=1..n} A211399(n,k)*2^(k-1). - Philippe Deléham, Feb 12 2013

G.f.: 1 + 2*Sum_{n = 1..inf} a(n)*x^n = 1/(1-2*x/(1-x/(1-2*3*x/(1-2*x/(1-2*5*x/(1-3*x/(1-2*7*x/(1-4*x/(1-...))))))))) (continued fraction). - Philippe Deléham, Feb 12 2013