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A141530
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a(n) = 4*n^3 - 6*n^2 + 1.
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9
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1, -1, 9, 55, 161, 351, 649, 1079, 1665, 2431, 3401, 4599, 6049, 7775, 9801, 12151, 14849, 17919, 21385, 25271, 29601, 34399, 39689, 45495, 51841, 58751, 66249, 74359, 83105, 92511, 102601, 113399, 124929, 137215, 150281, 164151, 178849, 194399, 210825, 228151
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OFFSET
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0,3
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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) with a(0)=1, a(1)=-1, a(2)=9, a(3)=55. - Harvey P. Dale, Nov 30 2011
E.g.f.: (1 - 2*x + 6*x^2 + 4*x^3)*exp(x). - G. C. Greubel, Mar 29 2021
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MAPLE
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MATHEMATICA
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LinearRecurrence[{4, -6, 4, -1}, {1, -1, 9, 55}, 50] (* Harvey P. Dale, Nov 30 2011 *)
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PROG
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(Magma) [4*n^3 -6*n^2 +1: n in [0..50]]; // G. C. Greubel, Mar 29 2021
(Sage) [4*n^3 -6*n^2 +1 for n in (0..50)] # G. C. Greubel, Mar 29 2021
(Python)
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CROSSREFS
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KEYWORD
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sign,less,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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