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A098547
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a(n) = n^3 + n^2 + 1.
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11
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1, 3, 13, 37, 81, 151, 253, 393, 577, 811, 1101, 1453, 1873, 2367, 2941, 3601, 4353, 5203, 6157, 7221, 8401, 9703, 11133, 12697, 14401, 16251, 18253, 20413, 22737, 25231, 27901, 30753, 33793, 37027, 40461, 44101, 47953, 52023, 56317, 60841, 65601
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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) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4). - Colin Barker, Aug 29 2014
G.f.: (1 - x + 7*x^2 - x^3)/(1-x)^4. - Colin Barker, Aug 29 2014
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MAPLE
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with(combinat): seq(fibonacci(3, n)+n^3, n=0..40); # Zerinvary Lajos, May 25 2008
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MATHEMATICA
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PROG
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(PARI) Vec(-(x^3-7*x^2+x-1)/(x-1)^4 + O(x^100)) \\ Colin Barker, Aug 29 2014
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CROSSREFS
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Cf. A000578, A066023, A001093, A034262, A071568, A011379, A027444, A053698, A033431, A033562, A061317.
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KEYWORD
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nonn,easy
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AUTHOR
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Douglas Winston (douglas.winston(AT)srupc.com), Oct 26 2004
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STATUS
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approved
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