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A115150 Third diagonal (M=3) sequence of triangle A113647, called Y(2,1). +0
3
1, 15, 113, 783, 5361, 36879, 255985, 1794063, 12689393, 90505231, 650379249, 4705157135, 34244198385, 250572963855, 1842382110705, 13605619630095, 100872203796465, 750556607938575, 5602962592235505, 41952165966643215 (list; graph; listen)
OFFSET

0,2

FORMULA

a(n)= A113647(n+2, n+1), n>=0.

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

CROSSREFS

a(n)=A115138(n+2), n>=0.

Sequence in context: A105051 A110822 A001849 this_sequence A115138 A092317 A044347

Adjacent sequences: A115147 A115148 A115149 this_sequence A115151 A115152 A115153

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Jan 13 2006

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Last modified December 4 21:35 EST 2008. Contains 151309 sequences.


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