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 A155120 a(n) = 2*(n^3 + n^2 + n - 1). 3
 -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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..2000 Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1). FORMULA 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 MAPLE seq( 2*(n^3 +n^2 +n -1), n=0..40); # G. C. Greubel, Mar 25 2021 MATHEMATICA 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 *) PROG (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 CROSSREFS Cf. A142463, A155121, A155122, A155123, A155124. Sequence in context: A028386 A362001 A259374 * A356442 A144691 A367428 Adjacent sequences: A155117 A155118 A155119 * A155121 A155122 A155123 KEYWORD sign,easy AUTHOR Roger L. Bagula, Jan 20 2009 STATUS approved

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Last modified February 22 18:10 EST 2024. Contains 370260 sequences. (Running on oeis4.)