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 A139614 #21 Apr 04 2024 09:47:47
%S A139614 14,105,196,287,378,469,560,651,742,833,924,1015,1106,1197,1288,1379,
%T A139614 1470,1561,1652,1743,1834,1925,2016,2107,2198,2289,2380,2471,2562,
%U A139614 2653,2744,2835,2926,3017,3108,3199,3290,3381,3472,3563,3654
%N A139614 a(n) = 91*n + 14.
%C A139614 Numbers of the 14th column of positive numbers in the square array of nonnegative and polygonal numbers A139600. Also, numbers of the 14th column in the square array A057145.
%H A139614 Vincenzo Librandi, <a href="/A139614/b139614.txt">Table of n, a(n) for n = 0..5000</a>
%H A139614 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1).
%F A139614 a(n) = 2*a(n-1) - a(n-2); a(0)=14, a(1)=105. - _Harvey P. Dale_, Feb 25 2015
%F A139614 From _Elmo R. Oliveira_, Apr 04 2024: (Start)
%F A139614 G.f.: 7*(2+11*x)/(x-1)^2.
%F A139614 E.g.f.: 7*exp(x)*(2 + 13*x).
%F A139614 a(n) = 7*A153080(n). (End)
%t A139614 91*Range[0,40]+14 (* or *) LinearRecurrence[{2,-1},{14,105},50] (* _Harvey P. Dale_, Feb 25 2015 *)
%o A139614 (Magma) [7*(13*n + 2): n in [0..60]]; // _Vincenzo Librandi_, Jul 23 2011
%o A139614 (PARI) a(n)=91*n+14 \\ _Charles R Greathouse IV_, Oct 05 2011
%Y A139614 Cf. A057145, A139600, A153080.
%K A139614 easy,nonn
%O A139614 0,1
%A A139614 _Omar E. Pol_, Apr 27 2008