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 A167487 #47 Oct 31 2024 18:39:34
%S A167487 8,10,13,17,22,28,35,43,52,62,73,85,98,112,127,143,160,178,197,217,
%T A167487 238,260,283,307,332,358,385,413,442,472,503,535,568,602,637,673,710,
%U A167487 748,787,827,868,910,953,997,1042,1088,1135,1183,1232,1282,1333,1385,1438,1492
%N A167487 a(n) = n*(n + 3)/2 + 8.
%C A167487 2*a(i) + 3 is prime for i = 0..14. - _Vincenzo Librandi_, Jun 01 2014
%C A167487 Numbers m >= 8 such that 8*m - 55 is a square. - _Bruce J. Nicholson_, Jul 26 2017
%H A167487 Vincenzo Librandi, <a href="/A167487/b167487.txt">Table of n, a(n) for n = 0..1000</a>
%H A167487 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1).
%F A167487 a(n) = n + a(n-1) + 1 with n > 1, a(1)=10.
%F A167487 G.f.: (8 - 14*x + 7*x^2)/(1 - x)^3. - _Vincenzo Librandi_, Sep 16 2013
%F A167487 a(n) = Sum_{i=n-5..n+7} i*(i+1)/26. - _Bruno Berselli_, Oct 20 2016
%F A167487 Sum_{n>=0} 1/a(n) = -1/7 + 2*Pi*tanh(sqrt(55)*Pi/2)/sqrt(55). - _Amiram Eldar_, Dec 13 2022
%F A167487 From _Elmo R. Oliveira_, Oct 31 2024: (Start)
%F A167487 E.g.f.: exp(x)*(8 + 2*x + x^2/2).
%F A167487 a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n > 2. (End)
%t A167487 Table[n (n + 3)/2 + 8, {n, 0, 100}] (* _Vladimir Joseph Stephan Orlovsky_, Jun 03 2011 *)
%t A167487 CoefficientList[Series[(8 - 14 x + 7 x^2) / (1 - x)^3, {x, 0, 60}], x] (* _Vincenzo Librandi_, Sep 16 2013 *)
%t A167487 LinearRecurrence[{3,-3,1},{8,10,13},60] (* _Harvey P. Dale_, Jul 05 2020 *)
%o A167487 (Magma) [n*(n+3)/2+8: n in [0..60]]; // _Vincenzo Librandi_, Sep 16 2013
%o A167487 (PARI) a(n)=n*(n+3)/2+8 \\ _Charles R Greathouse IV_, Jun 16 2017
%Y A167487 Cf. A167499.
%K A167487 nonn,easy
%O A167487 0,1
%A A167487 _Vincenzo Librandi_, Nov 07 2009