%I #23 Aug 24 2017 16:34:56
%S 0,15,59,132,234,365,525,714,932,1179,1455,1760,2094,2457,2849,3270,
%T 3720,4199,4707,5244,5810,6405,7029,7682,8364,9075,9815,10584,11382,
%U 12209,13065,13950,14864,15807,16779
%N a(n) = n*(29*n + 1)/2.
%H G. C. Greubel, <a href="/A022287/b022287.txt">Table of n, a(n) for n = 0..5000</a>
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1).
%F a(n) = 29*n + a(n-1) - 14 for n>0, a(0)=0. - _Vincenzo Librandi_, Aug 04 2010
%F G.f.: x*(15 + 14*x)/(1 - x)^3 . - _R. J. Mathar_, Aug 04 2016
%F a(n) = A000217(15*n) - A000217(14*n). - _Bruno Berselli_, Oct 13 2016
%F E.g.f.: (x/2)*(29*x + 30)*exp(x). - _G. C. Greubel_, Aug 24 2017
%t Table[n (29 n + 1)/2, {n, 0, 40}] (* _Bruno Berselli_, Oct 13 2016 *)
%o (PARI) a(n)=n*(29*n+1)/2 \\ _Charles R Greathouse IV_, Jun 17 2017
%Y Cf. similar sequences listed in A022289.
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_
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