%I #29 Apr 12 2024 07:50:10
%S 17,153,289,425,561,697,833,969,1105,1241,1377,1513,1649,1785,1921,
%T 2057,2193,2329,2465,2601,2737,2873,3009,3145,3281,3417,3553,3689,
%U 3825,3961,4097,4233,4369,4505,4641,4777,4913,5049,5185,5321
%N a(n) = 136*n + 17.
%C Numbers of the 17th column of positive numbers in the square array of nonnegative and polygonal numbers A139600. Also, numbers of the 17th column in the square array A057145.
%H Vincenzo Librandi, <a href="/A139617/b139617.txt">Table of n, a(n) for n = 0..5000</a>
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1).
%F From _Elmo R. Oliveira_, Apr 04 2024: (Start)
%F G.f.: 17*(1+7*x)/(x-1)^2.
%F E.g.f.: 17*exp(x)*(1 + 8*x).
%F a(n) = 17*A017077(n).
%F a(n) = 2*a(n-1) - a(n-2) for n >= 2. (End)
%t 136*Range[0,40]+17 (* or *) LinearRecurrence[{2,-1},{17,153},40] (* _Harvey P. Dale_, Jul 27 2015 *)
%o (Magma) [17*(8*n + 1): n in [0..60]]; // _Vincenzo Librandi_, Jul 23 2011
%o (PARI) a(n)=136*n+17 \\ _Charles R Greathouse IV_, Oct 05 2011
%Y Cf. A017077, A057145, A139600.
%K easy,nonn
%O 0,1
%A _Omar E. Pol_, May 21 2008