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 A141530 a(n) = 4*n^3 - 6*n^2 + 1. 8
 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS G. C. Greubel, Table of n, a(n) for n = 0..500 Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1). FORMULA a(n) = (2*n-1)*(2*n^2 -2*n -1) = A060747(n)*A132209(n-1), n > 1. - R. J. Mathar, Feb 22 2009 G.f.: (1 -5*x +19*x^2 +9*x^3)/(1-x)^4. - Jaume Oliver Lafont, Aug 30 2009 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 MAPLE A141530:= n-> 4*n^3 -6*n^2 +1; seq(A141530(n), n=0..50); # G. C. Greubel, Mar 29 2021 MATHEMATICA Table[EulerE[3, n], {n, 0, 50}]*4; (* and/or *) Array[4*#^3-6*#^2+1&, 50, 0] (* Vladimir Joseph Stephan Orlovsky, Nov 03 2009 *) LinearRecurrence[{4, -6, 4, -1}, {1, -1, 9, 55}, 50] (* Harvey P. Dale, Nov 30 2011 *) PROG (PARI) a(n)=4*n^3-6*n^2+1 \\ Charles R Greathouse IV, Oct 07 2015 (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 CROSSREFS Cf. A046092, A141047, A141417. See Librandi's comment in A078371. Sequence in context: A145875 A299519 A068970 * A263478 A326249 A016269 Adjacent sequences: A141527 A141528 A141529 * A141531 A141532 A141533 KEYWORD sign,less,easy AUTHOR Paul Curtz, Aug 12 2008 EXTENSIONS Corrected, completed and edited, following an observation from Vincenzo Librandi, by M. F. Hasler, Feb 12 2009. Further edited by N. J. A. Sloane, Feb 13 2009 STATUS approved

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Last modified December 5 15:27 EST 2022. Contains 358588 sequences. (Running on oeis4.)