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A081279
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Binomial transform of Chebyshev coefficients A001794.
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5
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1, 8, 47, 238, 1101, 4788, 19899, 79866, 311769, 1189728, 4454919, 16415622, 59659173, 214229772, 761200659, 2679525522, 9353893041, 32409397944, 111534054111, 381480041502, 1297471217661, 4390248981348, 14785128121707
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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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a(n) = (2*n^3 + 30*n^2 + 103*n + 81) * 3^(n-4).
a(n) = 12*a(n-1) -54*a(n-2) +108*a(n-3) +8*1a(n-4), a(0)=1, a(1)=8, a(2)=47, a(3)=238.
G.f.: (1-2*x)*(1-x)^2/(1-3*x)^4.
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MATHEMATICA
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CoefficientList[Series[(1 - 2 x) (1 - x)^2 / (1 - 3 x)^4, {x, 0, 40}], x] (* Vincenzo Librandi, Aug 07 2013 *)
LinearRecurrence[{12, -54, 108, -81}, {1, 8, 47, 238}, 30] (* Harvey P. Dale, Jul 27 2015 *)
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PROG
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(Magma) [(2*n^3+30*n^2 + 103*n + 81)*3^(n - 4): n in [0..25]]; // Vincenzo Librandi, Aug 07 2013
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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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