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Row sums of triangle A142963.
1

%I #15 Jun 18 2017 02:07:00

%S 1,3,15,111,1071,12663,177255,2866671,52587711,1078805223,24470577495,

%T 608113846431,16429992037551,479502707791383,15032820820737735,

%U 503852219871917391,17978716725920562591,680458944566818819143,27227452811905815729975,1148414905826479180087551

%N Row sums of triangle A142963.

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

%F a(n) = Sum_{k=1..n} A211399(n,k)*2^(k-1). - _Philippe Deléham_, Feb 12 2013

%F 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

%Y Cf. A142963, A211399.

%K nonn,easy

%O 1,2

%A _Wolfdieter Lang_, Sep 15 2008