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 A132685 #7 Mar 14 2021 18:44:31
%S A132685 1,4,28,364,10626,850668,218618940,198773423848,669741609663270,
%T A132685 8493008777332033900,405943250253048290447028,
%U A132685 72938914603968404495709630360,49143490709866058459392200362497820
%N A132685 a(n) = binomial(2^n + 2*n, n).
%H A132685 G. C. Greubel, <a href="/A132685/b132685.txt">Table of n, a(n) for n = 0..50</a>
%F A132685 a(n) = [x^n] 1/(1-x)^(2^n + n + 1).
%p A132685 A132695:= n-> binomial(2^n +2*n,n); seq(A132685(n), n=0..20); # _G. C. Greubel_, Mar 14 2021
%t A132685 Table[Binomial[2^n+2n,n],{n,0,20}] (* _Harvey P. Dale_, Jun 01 2016 *)
%o A132685 (PARI) a(n)=binomial(2^n+2*n,n)
%o A132685 (Sage) [binomial(2^n+2*n,n) for n in (0..20)] # _G. C. Greubel_, Mar 14 2021
%o A132685 (Magma) [Binomial(2^n+2*n,n): n in [0..20]]; // _G. C. Greubel_, Mar 14 2021
%Y A132685 Sequences of the form binomial(2^n +p*n +q, n): A136556 (0,-1), A014070 (0,0), A136505 (0,1), A136506 (0,2), A060690 (1,-1), A132683 (1,0), A132684 (1,1), this sequence (2,0), A132686 (2,1), A132687 (3,-1), A132688 (3,0), A132689 (3,1).
%Y A132685 Cf. A136555.
%K A132685 nonn
%O A132685 0,2
%A A132685 _Paul D. Hanna_, Aug 26 2007