A112704 - OEIS

%I #3 Oct 12 2012 14:40:24

%S 1,11,211,5211,145211,4345211,136345211,4426345211,147426345211,

%T 5009426345211,172969426345211,6051569426345211,214063569426345211,

%U 7643063569426345211,275087063569426345211,9969932063569426345211

%N Partial sum of Catalan numbers A000108 multiplied by powers of 10.

%F a(n)=sum(C(k)*10^k, k=0..n), n>=0, with C(n):=A000108(n).

%F G.f.: c(10*x)/(1-x), where c(x):=(1-sqrt(1-4*x))/(2*x) is the o.g.f. of Catalan numbers A000108.

%Y Eleventh column (m=10) of triangle A112705.

%K nonn,easy

%O 0,2

%A _Wolfdieter Lang_, Oct 31 2005