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A270809
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a(n) = n^3/3 - 7*n/3 + 4.
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0
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4, 2, 2, 6, 16, 34, 62, 102, 156, 226, 314, 422, 552, 706, 886, 1094, 1332, 1602, 1906, 2246, 2624, 3042, 3502, 4006, 4556, 5154, 5802, 6502, 7256, 8066, 8934, 9862, 10852, 11906, 13026, 14214, 15472, 16802, 18206, 19686, 21244, 22882, 24602, 26406, 28296, 30274
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OFFSET
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0,1
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LINKS
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FORMULA
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E.g.f.: (12 - 6*x + 3*x^2 + x^3)*exp(x)/3. - Bruno Berselli, Apr 08 2016
a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n>3. - Vincenzo Librandi, Apr 08 2016
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MATHEMATICA
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PROG
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(PARI) vector(50, n, n--; n^3/3-7*n/3+4) \\ Bruno Berselli, Apr 08 2016
(PARI) x='x+O('x^99); Vec((4-14*x+18*x^2-6*x^3)/(1-x)^4) \\ Altug Alkan, Apr 08 2016
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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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