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A168490
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Sequence with Hankel transform equal to 2^floor(n^2/2).
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3
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1, 1, 2, 6, 24, 112, 560, 2888, 15136, 80160, 427968, 2300736, 12445440, 67702272, 370205184, 2033976960, 11224014336, 62186741248, 345825348608, 1929744008192, 10802203119616, 60644473282560, 341383505977344
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OFFSET
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0,3
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COMMENTS
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Hankel transform is A099202 (a trivial Somos-4 sequence linked to y^2=1-12x+44x^2-48x^3.
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LINKS
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FORMULA
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G.f.: 1/(1-x/(1-x/(1-2x/(1-2x/(1-x/(1-x/(1-2x/(1-2x/(1-x/(1-x/(1-2x/(1-.... (continued fraction);
G.f.: 1/(1-x-x^2/(1-3x-4x^2/(1-3x-x^2/(1-3x-4x^2/(1-3x-x^2/(1-3x-4x^2/(1-... (continued fraction);
G.f.: (1-2x-sqrt((1-2x)(1-10x+24x^2)))/(4x(1-2x)).
Recurrence: (n+1)*a(n) = 4*(3*n-1)*a(n-1) - 4*(11*n-17)*a(n-2) + 24*(2*n-5)*a(n-3). - Vaclav Kotesovec, Oct 20 2012
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MATHEMATICA
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CoefficientList[Series[(1-2*x-Sqrt[(1-2*x)(1-10*x+24*x^2)])/(4x*(1-2*x)), {x, 0, 20}], x] (* Vaclav Kotesovec, Oct 20 2012 *)
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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