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 A125200 #19 Apr 12 2023 08:27:51 %S A125200 2,17,57,134,260,447,707,1052,1494,2045,2717,3522,4472,5579,6855,8312, %T A125200 9962,11817,13889,16190,18732,21527,24587,27924,31550,35477,39717, %U A125200 44282,49184,54435,60047,66032,72402,79169,86345,93942,101972,110447,119379 %N A125200 a(n) = n*(4*n^2 + n - 1)/2. %C A125200 a(n) = Sum_{k=1..n} (4*n*k - n - k), sums of rows of the triangle in A125199. %C A125200 A003415(A003415(a(n))) = 2*A016969(n-1). %H A125200 Harvey P. Dale, <a href="/A125200/b125200.txt">Table of n, a(n) for n = 1..1000</a> %H A125200 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4, -6, 4, -1). %F A125200 a(n) = 4*a(n-1) -6*a(n-2) +4*a(n-3) -a(n-4). - _R. J. Mathar_, Feb 12 2010 %F A125200 G.f.: x*(2+9*x+x^2)/(x-1)^4. - _R. J. Mathar_, Feb 12 2010 %F A125200 a(n) = Sum_{i=1..n} A033568(i). - _Bruno Berselli_, Jul 22 2013 %t A125200 LinearRecurrence[{4,-6,4,-1},{2,17,57,134},40] (* _Harvey P. Dale_, Feb 05 2013 *) %o A125200 (Magma) [n*(4*n^2 +n-1)div 2:n in [1..40]]; // _Vincenzo Librandi_, Dec 27 2010 %Y A125200 Cf. A003415, A016969, A033568, A125199. %K A125200 nonn,easy %O A125200 1,1 %A A125200 _Reinhard Zumkeller_, Nov 24 2006 %E A125200 Definition corrected by _Vincenzo Librandi_, Dec 27 2010