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A112701 Partial sum of Catalan numbers A000108 multiplied by powers of 7. 0
1, 8, 106, 1821, 35435, 741329, 16270997, 369570944, 8613236374, 204812473608, 4949266755812, 121188396669810, 3000342229924222, 74979188061284522, 1888846103011564082, 47915719069874907917, 1222954711282739097587 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..16.

FORMULA

a(n)=sum(C(k)*7^k, k=0..n), n>=0, with C(n):=A000108(n).

G.f.: c(7*x)/(1-x), where c(x):=(1-sqrt(1-4*x))/(2*x) is the o.g.f. of Catalan numbers A000108.

CROSSREFS

Eighth column (m=7) of triangle A112705.

Sequence in context: A055406 A155632 A129278 * A099695 A000845 A199658

Adjacent sequences:  A112698 A112699 A112700 * A112702 A112703 A112704

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Oct 31 2005

STATUS

approved

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Last modified June 20 03:26 EDT 2013. Contains 226418 sequences.