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 A017114 #27 Aug 13 2024 19:03:13
%S A017114 16,144,400,784,1296,1936,2704,3600,4624,5776,7056,8464,10000,11664,
%T A017114 13456,15376,17424,19600,21904,24336,26896,29584,32400,35344,38416,
%U A017114 41616,44944,48400,51984,55696,59536,63504,67600,71824,76176,80656,85264,90000,94864,99856
%N A017114 a(n) = (8*n + 4)^2.
%H A017114 Vincenzo Librandi, <a href="/A017114/b017114.txt">Table of n, a(n) for n = 0..10000</a>
%H A017114 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1).
%F A017114 From _Paul Curtz_, Nov 07 2008: (Start)
%F A017114 a(n) = 16*A016754(n).
%F A017114 a(n+2) = A061042(2n+1), from Brackett spectrum of hydrogen. (End)
%F A017114 G.f.: -16*(1 + 6*x + x^2)/(x-1)^3. - _R. J. Mathar_, Jul 14 2016
%F A017114 From _Amiram Eldar_, Apr 25 2023: (Start)
%F A017114 a(n) = A017113(n)^2.
%F A017114 a(n) = 2^2*A016826(n).
%F A017114 Sum_{n>=0} 1/a(n) = Pi^2/128.
%F A017114 Sum_{n>=0} (-1)^n/a(n) = G/16, where G is Catalan's constant (A006752). (End)
%t A017114 LinearRecurrence[{3, -3, 1},{16, 144, 400},30] (* _Ray Chandler_, Aug 04 2015 *)
%t A017114 (8*Range[0,40]+4)^2 (* _Harvey P. Dale_, Aug 13 2024 *)
%o A017114 (Magma) [(8*n+4)^2: n in [0..35] ]; // _Vincenzo Librandi_, Jul 21 2011
%o A017114 (PARI) a(n)=(8*n+4)^2 \\ _Charles R Greathouse IV_, Jun 17 2017
%Y A017114 Cf. A006752, A016754, A016826, A017113, A061042.
%K A017114 nonn,easy
%O A017114 0,1
%A A017114 _N. J. A. Sloane_