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A112704 Partial sum of Catalan numbers A000108 multiplied by powers of 10. +0
2
1, 11, 211, 5211, 145211, 4345211, 136345211, 4426345211, 147426345211, 5009426345211, 172969426345211, 6051569426345211, 214063569426345211, 7643063569426345211, 275087063569426345211, 9969932063569426345211 (list; graph; listen)
OFFSET

0,2

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 this_sequence A114758 A088061 A070220

Adjacent sequences: A112701 A112702 A112703 this_sequence A112705 A112706 A112707

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Oct 31 2005

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Last modified September 6 16:04 EDT 2008. Contains 143483 sequences.


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