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A112702 Partial sum of Catalan numbers A000108 multiplied by powers of 8. 0
1, 9, 137, 2697, 60041, 1436297, 36039305, 935717513, 24927136393, 677493729929, 18712061405833, 523679956331145, 14818155751139977, 423231749888535177, 12185543261045516937, 353292577084597987977, 10305591916877658319497 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

FORMULA

a(n)=sum(C(k)*8^k, k=0..n), n>=0, with C(n):=A000108(n).

G.f.: c(8*x)/(1-x), where c(x):=(1-sqrt(1-4*x))/(2*x) is the o.g.f. of Catalan numbers A000108.

CROSSREFS

Ninth column (m=8) of triangle A112705.

Sequence in context: A156975 A081876 A139760 * A092652 A137051 A137059

Adjacent sequences:  A112699 A112700 A112701 * A112703 A112704 A112705

KEYWORD

nonn,easy

AUTHOR

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

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Last modified February 15 03:33 EST 2012. Contains 205694 sequences.