A015238 a(n) = (2*n - 3)n^2.
0, -1, 4, 27, 80, 175, 324, 539, 832, 1215, 1700, 2299, 3024, 3887, 4900, 6075, 7424, 8959, 10692, 12635, 14800, 17199, 19844, 22747, 25920, 29375, 33124, 37179, 41552, 46255, 51300, 56699, 62464, 68607
Offset: 0
Links
- Ivan Panchenko, Table of n, a(n) for n = 0..1000
- Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).
Programs
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Magma
[2*n^3-3*n^2: n in [0..40]]; // Vincenzo Librandi, Aug 03 2014
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Mathematica
Table[(2 n^3 - 3 n^2), {n, 0, 40}] (* Vincenzo Librandi, Aug 03 2014 *) -
PARI
a(n)=(2*n-3)*n^2 \\ Charles R Greathouse IV, Jul 30 2016
Formula
G.f.: x*(-1 + 8*x + 5*x^2)/(1-x)^4. - Ivan Panchenko, Nov 09 2013
From G. C. Greubel, Jul 30 2016: (Start)
a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4).
E.g.f.: (-x + 3*x^2 + 2*x^3)*exp(x). (End)