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A115204 Seventh column of triangle A115193 (called C(1,2)). 2
1, 13, 123, 1037, 8291, 64509, 494595, 3761661, 28486659, 215277565, 1625688067, 12277764093, 92783468547, 701828038653, 5314762113027, 40297495658493, 305941006516227, 2325794003091453, 17704219384479747 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Also sixth diagonal of triangle A115195, called Y(1,2), divided by 32.

FORMULA

a(n)= A115195(5+n,1+n)/32, n>=0.

G.f.: (-1 + 7*x - 8*x^2 + (1- 9*x + 18*x^2 - 4*x^3)*cata(2*x))/(16*(1+x)*x^5), with the o.g.f. c(x) of A000108 (Catalan).

G.f. is also: ((1 + 2*x*c(2*x))*(2*x*c(2*x))^6)/(64*(1+x)*x^6).

a(n)= A115193(6+n,6), n>=0.

CROSSREFS

Sequence in context: A016230 A201382 A101186 * A016277 A202131 A152583

Adjacent sequences:  A115201 A115202 A115203 * A115205 A115206 A115207

KEYWORD

nonn

AUTHOR

Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Feb 03 2006

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Last modified February 16 02:30 EST 2012. Contains 205860 sequences.