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Search: id:A115194
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A115194 A sequence related to A000108 (Catalan numbers). +0
3
1, 7, 45, 291, 1917, 12867, 87805, 607747, 4257789, 30140419, 215277565, 1549615107, 11230642173, 81882660867, 600196448253, 4420404117507, 32695452696573, 242766809923587, 1808890431799293, 13521381274681347 (list; graph; listen)
OFFSET

0,2

COMMENT

Also one fourth of third diagonal of triangle A115195, called Y(1,2).

Fourth column (m=3) of triangle A115193, called C(1,2).

FORMULA

G.f.: (-1+x + (1-3*x)*c(2*x))/(2*(1+x)*x^2), with the o.g.f. c(x) of A000108 (Catalan).

a(n)= A115193(n+3,3), n>=0.

CROSSREFS

Sequence in context: A107125 A059937 A099842 this_sequence A062274 A143835 A103719

Adjacent sequences: A115191 A115192 A115193 this_sequence A115195 A115196 A115197

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Feb 23 2006

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.


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