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 A100214 #16 Mar 29 2024 02:22:53 %S A100214 4,8,36,112,260,504,868,1376,2052,2920,4004,5328,6916,8792,10980, %T A100214 13504,16388,19656,23332,27440,32004,37048,42596,48672,55300,62504, %U A100214 70308,78736,87812,97560,108004,119168,131076,143752,157220,171504,186628,202616,219492 %N A100214 a(n) = 4*n^3 + 4. %D A100214 T. A. Gulliver, Sequences from Cubes of Integers, Int. Math. Journal, 4 (2003), 439-445. %H A100214 Vincenzo Librandi, <a href="/A100214/b100214.txt">Table of n, a(n) for n = 0..1000</a> %H A100214 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1). %F A100214 From _R. J. Mathar_, Feb 26 2008: (Start) %F A100214 O.g.f.: 28/(1-x)^2 - 48/(1-x)^3 + 24/(1-x)^4. %F A100214 a(n) = 4*A001093(n). (End) %F A100214 E.g.f.: 4*(1 + x + 3*x^2 + x^3)*exp(x). - _G. C. Greubel_, Mar 29 2024 %t A100214 4*(Range[0,50]^3 +1) (* _G. C. Greubel_, Mar 29 2024 *) %o A100214 (Magma) [4*n^3+4: n in [0..40]]; // _Vincenzo Librandi_, Jun 15 2011 %o A100214 (SageMath) [4*(n^3+1) for n in range(41)] # _G. C. Greubel_, Mar 29 2024 %Y A100214 Cf. A001093. %K A100214 nonn,easy %O A100214 0,1 %A A100214 _N. J. A. Sloane_, Jan 12 2005