A112704 Partial sum of Catalan numbers A000108 multiplied by powers of 10.

1, 11, 211, 5211, 145211, 4345211, 136345211, 4426345211, 147426345211, 5009426345211, 172969426345211, 6051569426345211, 214063569426345211, 7643063569426345211, 275087063569426345211, 9969932063569426345211

Offset: 0

Author

Wolfdieter Lang, Oct 31 2005

Keywords

• nonn
• easy

Crossrefs

Eleventh column (m=10) of triangle A112705.

Formula

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

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.