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A229734
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G.f.: (1+x-2*x^2+2*x^3-sqrt(1-2*x-3*x^2+4*x^3-4*x^4))/(2*(1-x+x^2)).
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0
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0, 1, 1, 1, 2, 3, 7, 14, 33, 73, 174, 407, 987, 2386, 5877, 14509, 36210, 90715, 228863, 579654, 1475465, 3768993, 9664454, 24857951, 64133027, 165900202, 430242509, 1118325365, 2913106746, 7603261427, 19881409943, 52076282638, 136625968593, 358989196793, 944595607198, 2488799333031, 6565694568171
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OFFSET
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0,5
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LINKS
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FORMULA
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D-finite with recurrence: n*a(n) +3*(-n+1)*a(n-1) +6*a(n-2) +(5*n-24)*a(n-3) +(-11*n+51)*a(n-4) +2*(4*n-21)*a(n-5) +4*(-n+6)*a(n-6)=0. - R. J. Mathar, Jan 24 2018
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MATHEMATICA
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CoefficientList[Series[(1+x-2x^2+2x^3-Sqrt[1-2x-3x^2+4x^3-4x^4])/(2(1-x+ x^2)), {x, 0, 40}], x] (* Harvey P. Dale, Apr 28 2016 *)
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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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