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A155120
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a(n) = 2*(n^3 + n^2 + n - 1).
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3
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-2, 4, 26, 76, 166, 308, 514, 796, 1166, 1636, 2218, 2924, 3766, 4756, 5906, 7228, 8734, 10436, 12346, 14476, 16838, 19444, 22306, 25436, 28846, 32548, 36554, 40876, 45526, 50516, 55858
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graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,1
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..2000
Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).
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FORMULA
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a(n) = 2*(n^3 +n^2 +n -1).
G.f.: 2*(-1 +6*x -x^2 +2*x^3)/(1-x)^4.
E.g.f.: 2*(-1 + 3*x + 4*x^2 + x^3)*exp(x). - G. C. Greubel, Mar 25 2021
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MAPLE
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seq( 2*(n^3 +n^2 +n -1), n=0..40); # G. C. Greubel, Mar 25 2021
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MATHEMATICA
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Table[-2 +2n +2n^2 +2n^3, {n, 0, 30}]
LinearRecurrence[{4, -6, 4, -1}, {-2, 4, 26, 76}, 40] (* Harvey P. Dale, Jun 06 2014 *)
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PROG
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(Magma) [2*(n^3+n^2+n-1): n in [0..40] ]; // Vincenzo Librandi, May 23 2011
(Sage) [2*(n^3 +n^2 +n -1) for n in (0..40)] # G. C. Greubel, Mar 25 2021
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CROSSREFS
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Cf. A142463, A155121, A155122, A155123, A155124.
Sequence in context: A129894 A028386 A259374 * A356442 A144691 A085700
Adjacent sequences: A155117 A155118 A155119 * A155121 A155122 A155123
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KEYWORD
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sign,easy
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AUTHOR
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Roger L. Bagula, Jan 20 2009
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STATUS
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approved
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