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 A336829 #17 Sep 01 2022 05:00:25
%S A336829 1,3,46,9065,25561876,1048567813062,632156164654144530,
%T A336829 5652307059542612442465921,755658094192422806457805924637704,
%U A336829 1521188219372604726826961340683399629967888,46388428590466766659538640978460161019178279424832676
%N A336829 a(n) = Sum_{k=0..n} binomial(n+k,k)^n.
%H A336829 Seiichi Manyama, <a href="/A336829/b336829.txt">Table of n, a(n) for n = 0..41</a>
%F A336829 a(n) ~ exp(-1/8) * 2^(2*n^2) / (Pi*n)^(n/2). - _Vaclav Kotesovec_, Jul 10 2021
%t A336829 Table[Sum[Binomial[n + k, k]^n, {k, 0, n}], {n, 0, 10}]
%o A336829 (PARI) a(n) = sum(k=0, n, binomial(n+k, k)^n); \\ _Michel Marcus_, Aug 05 2020
%o A336829 (Magma) [(&+[Binomial(2*n-j,n)^n: j in [0..n]]): n in [0..20]]; // _G. C. Greubel_, Aug 31 2022
%o A336829 (SageMath)
%o A336829 def A336829(n): return sum(binomial(2*n-j, n)^n for j in (0..n))
%o A336829 [A336829(n) for n in (0..20)] # _G. C. Greubel_, Aug 31 2022
%Y A336829 Cf. A001700, A112028, A112029, A167010, A219562, A219563, A219564.
%K A336829 nonn
%O A336829 0,2
%A A336829 _Ilya Gutkovskiy_, Aug 05 2020