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A112697 Partial sum of Catalan numbers A000108 multiplied by powers of 3. 0
1, 4, 22, 157, 1291, 11497, 107725, 1045948, 10428178, 106126924, 1097913928, 11511677470, 122057782762, 1306480339462, 14098243951822, 153208673236237, 1675240428936307, 18417589741637077, 203464608460961377 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

FORMULA

a(n)=sum(C(k)*3^k, k=0..n), n>=0, with C(n):=A000108(n).

G.f.: c(3*x)/(1-x), where c(x):=(1-sqrt(1-4*x))/(2*x) is the o.g.f. of Catalan numbers A000108.

CROSSREFS

Fourth column (m=3) of triangle A112705.

Sequence in context: A052650 A198053 A197925 * A113717 A124563 A122704

Adjacent sequences:  A112694 A112695 A112696 * A112698 A112699 A112700

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 14 22:37 EST 2012. Contains 205679 sequences.