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A112700 Partial sum of Catalan numbers A000108 multiplied by powers of 6. 0
1, 7, 79, 1159, 19303, 345895, 6504487, 126597031, 2528447911, 51526205863, 1067116097959, 22394503831975, 475191351108007, 10177980935594407, 219758235960500647, 4778128782752211367, 104526001924311998887 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

FORMULA

a(n)=sum(C(k)*6^k, k=0..n), n>=0, with C(n):=A000108(n).

G.f.: c(6*x)/(1-x), where c(x):=(1-sqrt(1-4*x))/(2*x) is the o.g.f. of Catalan numbers A000108.

CROSSREFS

Seventh column (m=6) of triangle A112705.

Sequence in context: A014293 A176792 A186377 * A098105 A201301 A159524

Adjacent sequences:  A112697 A112698 A112699 * A112701 A112702 A112703

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 16 10:53 EST 2012. Contains 205904 sequences.