Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%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