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A054122
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T(2n,n), array T as in A054120.
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2
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1, 3, 18, 114, 750, 5058, 34692, 240852, 1687446, 11906610, 84490428, 602335836, 4310670156, 30950436468, 222844189320, 1608369633384, 11632913018598, 84294762019218, 611831430746124, 4447397950230540
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OFFSET
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0,2
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LINKS
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FORMULA
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D-finite with recurrence: (n-1)*n*a(n) = 4*(n-1)*(2*n-1)*a(n-1) - 4*(n-2)*n*a(n-2). - Vaclav Kotesovec, Oct 09 2012
a(n) ~ sqrt(6+4*sqrt(3))*(4+2*sqrt(3))^n/(4*sqrt(Pi*n)). - Vaclav Kotesovec, Oct 09 2012
D-finite with recurrence n*a(n) +3*(-3*n+2)*a(n-1) +12*(n-2)*a(n-2) +4*(-n+3)*a(n-3)=0. - R. J. Mathar, Jun 13 2013
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MATHEMATICA
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Table[SeriesCoefficient[(1-x)/Sqrt[1-8*x+4*x^2], {x, 0, n}], {n, 0, 20}] (* Vaclav Kotesovec, Oct 09 2012 *)
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PROG
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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