This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A139617 #29 Apr 12 2024 07:50:10 %S A139617 17,153,289,425,561,697,833,969,1105,1241,1377,1513,1649,1785,1921, %T A139617 2057,2193,2329,2465,2601,2737,2873,3009,3145,3281,3417,3553,3689, %U A139617 3825,3961,4097,4233,4369,4505,4641,4777,4913,5049,5185,5321 %N A139617 a(n) = 136*n + 17. %C A139617 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 A139617 Vincenzo Librandi, <a href="/A139617/b139617.txt">Table of n, a(n) for n = 0..5000</a> %H A139617 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1). %F A139617 From _Elmo R. Oliveira_, Apr 04 2024: (Start) %F A139617 G.f.: 17*(1+7*x)/(x-1)^2. %F A139617 E.g.f.: 17*exp(x)*(1 + 8*x). %F A139617 a(n) = 17*A017077(n). %F A139617 a(n) = 2*a(n-1) - a(n-2) for n >= 2. (End) %t A139617 136*Range[0,40]+17 (* or *) LinearRecurrence[{2,-1},{17,153},40] (* _Harvey P. Dale_, Jul 27 2015 *) %o A139617 (Magma) [17*(8*n + 1): n in [0..60]]; // _Vincenzo Librandi_, Jul 23 2011 %o A139617 (PARI) a(n)=136*n+17 \\ _Charles R Greathouse IV_, Oct 05 2011 %Y A139617 Cf. A017077, A057145, A139600. %K A139617 easy,nonn %O A139617 0,1 %A A139617 _Omar E. Pol_, May 21 2008