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Search: id:A087804
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| A087804 |
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Binomial transform of squares of Catalan numbers. |
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+0
2
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| 1, 2, 7, 41, 325, 3040, 31515, 350880, 4119125, 50381450, 636749395, 8266178915, 109733663665, 1484513264720, 20411163893039, 284613464884251, 4017787464584397, 57337159218724242, 826192231251644091
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OFFSET
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0,2
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FORMULA
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G.f.: hypergeom([1/2, 1/2, 1], [2, 2], 16*x/(1-x))/(1-x). E.g.f.: exp(x)*hypergeom([1/2, 1/2], [2, 2], 16*x).
-(n+1)^2*a(n)+(-15*n+4+19*n^2)*a(n-1)-(35*n-33)*(n-1)*a(n-2)+17*(n-1)*(n-2)*a(n-3) = 0. - Vladeta Jovovic (vladeta(AT)Eunet.yu), Jul 20 2004
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CROSSREFS
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Cf. A007317, A001246.
Cf. A087806.
Sequence in context: A130715 A106871 A107376 this_sequence A006677 A101390 A113144
Adjacent sequences: A087801 A087802 A087803 this_sequence A087805 A087806 A087807
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KEYWORD
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nonn
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AUTHOR
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Vladeta Jovovic (vladeta(AT)Eunet.yu), Oct 12 2003
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