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

0,2

Links

Table of n, a(n) for n=0..15.

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.

Crossrefs

Eleventh column (m=10) of triangle A112705.

Sequence in context: A089567 A372075 A110747 * A243674 A114758 A088061

Adjacent sequences: A112701 A112702 A112703 * A112705 A112706 A112707

Keyword

nonn,easy

Author

Wolfdieter Lang, Oct 31 2005

Status

approved