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A112699 Partial sum of Catalan numbers A000108 multiplied by powers of 5. 0
1, 6, 56, 681, 9431, 140681, 2203181, 35718806, 594312556, 10090406306, 174113843806, 3044524000056, 53828703687556, 960689055250056, 17284175383375056, 313147365080640681, 5708299647795484431 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

FORMULA

a(n)=sum(C(k)*5^k, k=0..n), n>=0, with C(n):=A000108(n).

G.f.: c(5*x)/(1-x), where c(x):=(1-sqrt(1-4*x))/(2*x) is the o.g.f. of Catalan numbers A000108.

CROSSREFS

Sixth column (m=5) of triangle A112705.

Sequence in context: A025749 A182955 A053336 * A093197 A052317 A185524

Adjacent sequences:  A112696 A112697 A112698 * A112700 A112701 A112702

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 16:21 EST 2012. Contains 205823 sequences.