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A217530
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a(n) = n^4/2-5*n^3/2+21*n-30.
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1
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0, 6, 22, 75, 204, 460, 906, 1617, 2680, 4194, 6270, 9031, 12612, 17160, 22834, 29805, 38256, 48382, 60390, 74499, 90940, 109956, 131802, 156745, 185064, 217050, 253006, 293247, 338100, 387904, 443010, 503781, 570592, 643830, 723894, 811195, 906156, 1009212, 1120810
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OFFSET
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2,2
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LINKS
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FORMULA
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G.f.: x^3*(11*x^3-25*x^2+8*x-6)/(x-1)^5. [Colin Barker, Oct 17 2012]
a(n) = 5*a(n-1)-10*a(n-2)+10*a(n-3)-5*a(n-4)+a(n-5). - Wesley Ivan Hurt, Nov 10 2014
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MAPLE
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MATHEMATICA
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LinearRecurrence[{5, -10, 10, -5, 1}, {0, 6, 22, 75, 204}, 40] (* Harvey P. Dale, Dec 12 2018 *)
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PROG
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(Maxima) makelist(n^4/2-5*n^3/2+21*n-30, n, 2, 40); /* Martin Ettl, Oct 15 2012 */
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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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