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A112703 Partial sum of Catalan numbers A000108 multiplied by powers of 9. 0
1, 10, 172, 3817, 95671, 2575729, 72725941, 2124619642, 63681430672, 1947319848190, 60511350647386, 1905278320822060, 60654011063307832, 1949006134928921932, 63131614948174818772, 2059214227480322203177 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

FORMULA

a(n)=sum(C(k)*9^k, k=0..n), n>=0, with C(n):=A000108(n).

G.f.: c(9*x)/(1-x), where c(x):=(1-sqrt(1-4*x))/(2*x) is the o.g.f. of Catalan numbers A000108.

CROSSREFS

Tenth column (m=9) of triangle A112705.

Sequence in context: A119043 A187204 A133273 * A132676 A200574 A078516

Adjacent sequences:  A112700 A112701 A112702 * A112704 A112705 A112706

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 21:56 EST 2012. Contains 205860 sequences.