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A033576
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a(n) = (2*n+1)*(12*n+1).
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1
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1, 39, 125, 259, 441, 671, 949, 1275, 1649, 2071, 2541, 3059, 3625, 4239, 4901, 5611, 6369, 7175, 8029, 8931, 9881, 10879, 11925, 13019, 14161, 15351, 16589, 17875, 19209, 20591, 22021, 23499, 25025
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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) = 3*a(n-1) - 3*a(n-2) + a(n-3).
G.f.: (1 + 36*x + 11*x^2)/(1-x)^3. (End)
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MAPLE
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MATHEMATICA
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CoefficientList[Series[(1+36*x+11*x^2)/(1-x)^3, {x, 0, 50}], x] (* Vincenzo Librandi, Jul 07 2012 *)
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PROG
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(Sage) [(2*n+1)*(12*n+1) for n in range(50)] # G. C. Greubel, Oct 12 2019
(GAP) List([0..50], n-> (2*n+1)*(12*n+1)); # G. C. Greubel, Oct 12 2019
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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