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A115151 Fourth diagonal (M=4) sequence of triangle A113647, called Y(2,1). 0
1, 31, 289, 2271, 16929, 123871, 901153, 6553567, 47759393, 349143007, 2561474593, 18860670943, 139371085857, 1033405464543, 7687240679457, 57356977176543, 429173772386337, 3219806849335263, 24215844242325537 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

FORMULA

a(n)= A113647(n+3, n+1), n>=0.

G.f.: ((-2 + 8*x +x^3) + 2*(1-6*x+4*x^2)*c(2*x))/((x^3)*(1+x)), with the o.g.f. c(x):=(1-sqrt(1-4*x))/(2*x) of A000108 (Catalan numbers).

CROSSREFS

Sequence in context: A008386 A161558 A156094 * A001298 A027841 A000500

Adjacent sequences:  A115148 A115149 A115150 * A115152 A115153 A115154

KEYWORD

nonn,easy

AUTHOR

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

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Last modified February 15 12:05 EST 2012. Contains 205782 sequences.