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A115188 Second diagonal (M=2) of triangle A115154 (called Y(3,1)). 1
1, 13, 115, 1036, 9688, 93571, 927523, 9387580, 96634294, 1008719002, 10653244294, 113630599852, 1222361061310, 13246563382735, 144479425979635, 1584810988780420, 17471975574010630, 193493968384827670 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

FORMULA

a(n)= A115154(n+1,n+1), n>=0.

Recurrence: a(n)= b(n) - 3*b(n-1), with b(n):= A064063(n+2), n>=0.

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

EXAMPLE

115 = a(2) = A064063(4) - 3* A064063(3) = 190 - 3*25.

CROSSREFS

Sequence in context: A048383 A156969 A016765 * A155621 A021034 A022737

Adjacent sequences:  A115185 A115186 A115187 * A115189 A115190 A115191

KEYWORD

nonn,easy

AUTHOR

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

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Last modified February 18 00:14 EST 2012. Contains 206085 sequences.