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%I #12 Sep 08 2022 08:44:51
%S 1,36,115,238,405,616,871,1170,1513,1900,2331,2806,3325,3888,4495,
%T 5146,5841,6580,7363,8190,9061,9976,10935,11938,12985,14076,15211,
%U 16390,17613,18880,20191,21546,22945
%N a(n) = (2*n+1)*(11*n+1).
%H G. C. Greubel, <a href="/A033575/b033575.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1).
%F From _G. C. Greubel_, Oct 12 2019: (Start)
%F G.f.: (1 + 33*x + 10*x^2)/(1-x)^3.
%F E.g.f.: (1 + 35*x + 22*x^2)*exp(x). (End)
%p seq((2*n+1)*(11*n+1), n=0..50); # _G. C. Greubel_, Oct 12 2019
%t Table[(2*n+1)*(11*n+1), {n,0,50}] (* _G. C. Greubel_, Oct 12 2019 *)
%o (PARI) a(n)=(2*n+1)*(11*n+1) \\ _Charles R Greathouse IV_, Jun 16 2017
%o (Magma) [(2*n+1)*(11*n+1): n in [0..50]] // _G. C. Greubel_, Oct 12 2019
%o (Sage) [(2*n+1)*(11*n+1) for n in range(50)] # _G. C. Greubel_, Oct 12 2019
%o (GAP) List([0..50], n-> (2*n+1)*(11*n+1)); # _G. C. Greubel_, Oct 12 2019
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_
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