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A112704 Partial sum of Catalan numbers A000108 multiplied by powers of 10. 1
1, 11, 211, 5211, 145211, 4345211, 136345211, 4426345211, 147426345211, 5009426345211, 172969426345211, 6051569426345211, 214063569426345211, 7643063569426345211, 275087063569426345211, 9969932063569426345211 (list; graph; refs; listen; history; text; internal format)
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: A077714 A089567 A110747 * A243674 A114758 A088061

Adjacent sequences:  A112701 A112702 A112703 * A112705 A112706 A112707

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Oct 31 2005

STATUS

approved

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Last modified December 10 04:09 EST 2016. Contains 278993 sequences.