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 A014796 #26 Jul 16 2025 11:43:07 %S A014796 0,16,100,400,3136,7056,14400,48400,81796,132496,313600,462400,665856, %T A014796 1299600,1768900,2371600,4096576,5290000,6760000,10732176,13351716, %U A014796 16483600,24601600,29767936,35808256,50979600,60372900,71166096,97614400,113635600,131790400,175403536 %N A014796 Squares of even tetrahedral numbers (A015220). %H A014796 <a href="/index/Rec#order_19">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,6,-6,0,-15,15,0,20,-20,0,-15,15,0,6,-6,0,-1,1). %F A014796 From _Amiram Eldar_, Mar 07 2022: (Start) %F A014796 a(n) = A015220(n)^2. %F A014796 Sum_{n>=1} 1/a(n) = 27*(Pi^2 + Pi - 13)/4. (End) %F A014796 a(n) = a(n-1) + 6*a(n-3) - 6*a(n-4) - 15*a(n-6) + 15*a(n-7) + 20*a(n-9) - 20*a(n-10) - 15*a(n-12) + 15*a(n-13) + 6*a(n-15) - 6*a(n-16) - a(n-18) + a(n-19). - _Wesley Ivan Hurt_, Jul 16 2025 %t A014796 Select[Binomial[Range[0,40]+2,3],EvenQ]^2 (* _Harvey P. Dale_, Jan 19 2012 *) %Y A014796 Cf. A000292, A015220, A014795. %K A014796 nonn,easy %O A014796 0,2 %A A014796 _Mohammad K. Azarian_ %E A014796 More terms from _Erich Friedman_ %E A014796 a(0) and more terms from _Amiram Eldar_, Mar 07 2022