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Search: id:A115204
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| 1, 13, 123, 1037, 8291, 64509, 494595, 3761661, 28486659, 215277565, 1625688067, 12277764093, 92783468547, 701828038653, 5314762113027, 40297495658493, 305941006516227, 2325794003091453, 17704219384479747
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OFFSET
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0,2
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COMMENT
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Also sixth diagonal of triangle A115195, called Y(1,2), divided by 32.
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FORMULA
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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.
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CROSSREFS
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Sequence in context: A033470 A016230 A101186 this_sequence A016277 A134550 A016224
Adjacent sequences: A115201 A115202 A115203 this_sequence A115205 A115206 A115207
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KEYWORD
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nonn
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Feb 03 2006
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