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 A241751 #22 Nov 29 2024 19:01:02
%S A241751 16,17,20,25,32,41,52,65,80,97,116,137,160,185,212,241,272,305,340,
%T A241751 377,416,457,500,545,592,641,692,745,800,857,916,977,1040,1105,1172,
%U A241751 1241,1312,1385,1460,1537,1616,1697,1780,1865,1952,2041,2132,2225,2320,2417,2516
%N A241751 a(n) = n^2 + 16.
%H A241751 Vincenzo Librandi, <a href="/A241751/b241751.txt">Table of n, a(n) for n = 0..1000</a>
%H A241751 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1).
%F A241751 G.f.: (16 - 31*x + 17*x^2)/(1 - x)^3.
%F A241751 a(n) = a(-n) = 3*a(n-1) - 3*a(n-2) + a(n-3) = a(n-1) + 2*n - 1.
%F A241751 From _Amiram Eldar_, Nov 03 2020: (Start)
%F A241751 Sum_{n>=0} 1/a(n) = (1 + 4*Pi*coth(4*Pi))/32.
%F A241751 Sum_{n>=0} (-1)^n/a(n) = (1 + 4*Pi*cosech(4*Pi))/32. (End)
%F A241751 E.g.f.: exp(x)*(16 + x + x^2). - _Elmo R. Oliveira_, Nov 29 2024
%t A241751 Table[n^2 + 16, {n, 0, 60}]
%o A241751 (Magma) [n^2+16: n in [0..60]];
%o A241751 (Haskell)
%o A241751 a241751 = (+ 16) . (^ 2) -- _Reinhard Zumkeller_, Apr 11 2015
%o A241751 (PARI) a(n)=n^2+16 \\ _Charles R Greathouse IV_, Jun 17 2017
%Y A241751 Cf. similar sequences listed in A114962.
%Y A241751 Cf. A000290, A243451 (primes).
%K A241751 nonn,easy
%O A241751 0,1
%A A241751 _Vincenzo Librandi_, May 01 2014