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 A083079 #18 Sep 08 2022 08:45:10 %S A083079 1,63,229,547,1065,1831,2893,4299,6097,8335,11061,14323,18169,22647, %T A083079 27805,33691,40353,47839,56197,65475,75721,86983,99309,112747,127345, %U A083079 143151,160213,178579,198297,219415,241981,266043,291649,318847,347685 %N A083079 4th column of number array A083075. %H A083079 Vincenzo Librandi, <a href="/A083079/b083079.txt">Table of n, a(n) for n = 0..10000</a> %H A083079 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1). %F A083079 a(n) = 8*n^3 + 28*n^2 + 26*n + 1 = (n*(2n+3)^3 + 1)/(n+1). %F A083079 G.f.: (1 + 59*x - 17*x^2 + 5*x^3)/(1-x)^4. - _Harvey P. Dale_, May 14 2011 %F A083079 a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4); a(0)=1, a(1)=63, a(2)=229, a(3)=547. - _Harvey P. Dale_, May 14 2011 %t A083079 Table[8 n^3 + 28 n^2 + 26 n + 1, {n, 0, 40}] (* or *) LinearRecurrence[ {4,-6,4,-1},{1,63,229,547},40] (* _Harvey P. Dale_, May 14 2011 *) %o A083079 (Magma) [8*n^3+28*n^2+26*n+1: n in [0..30]]; // _Vincenzo Librandi_, Nov 12 2011 %Y A083079 Cf. A082109. %K A083079 easy,nonn %O A083079 0,2 %A A083079 _Paul Barry_, Apr 23 2003