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A050408
a(n) = (117*n^2 - 99*n + 2)/2.
1
1, 10, 136, 379, 739, 1216, 1810, 2521, 3349, 4294, 5356, 6535, 7831, 9244, 10774, 12421, 14185, 16066, 18064, 20179, 22411, 24760, 27226, 29809, 32509, 35326, 38260, 41311, 44479, 47764, 51166, 54685, 58321, 62074, 65944, 69931, 74035
OFFSET
0,2
FORMULA
G.f.: (1 + 7*x + 109*x^2)/(1-x)^3. - R. J. Mathar, Jul 01 2011
E.g.f.: (2 + 18*x + 117*x^2)*exp(x)/2. - G. C. Greubel, Oct 30 2019
MAPLE
seq((117*n^2-99*n+2)/2, n=0..40); # G. C. Greubel, Oct 30 2019
MATHEMATICA
Table[(117*n^2-99*n+2)/2, {n, 0, 40}] (* G. C. Greubel, Oct 30 2019 *)
PROG
(Magma) [117*n^2/2-99*n/2+1: n in [0..45]]; // Vincenzo Librandi, Jul 05 2011
(PARI) a(n)=117*n^2/2-99*n/2+1 \\ Charles R Greathouse IV, Jun 16 2017
(Sage) [(117*n^2-99*n+2)/2 for n in (0..40)] # G. C. Greubel, Oct 30 2019
(GAP) List([0..40], n-> (117*n^2-99*n+2)/2); # G. C. Greubel, Oct 30 2019
CROSSREFS
Sequence in context: A232265 A095653 A024135 * A133197 A287473 A240917
KEYWORD
easy,nonn
AUTHOR
Klaus Strassburger (strass(AT)ddfi.uni-duesseldorf.de), Dec 22 1999
STATUS
approved