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 A346183 #10 Jul 09 2021 12:05:40
%S A346183 1,5,48,824,20690,687582,28488488,1415047216,81971972604,
%T A346183 5426378062364,404122795201488,33442612446777888,3044479614669988040,
%U A346183 302377373253190949560,32537275691504428919040,3770760967834168275347072,468240057706224000130749072,62024410203403175896065018192
%N A346183 a(n) = Sum_{k=0..n} binomial(n,k) * binomial((k+1)^2, n).
%F A346183 a(n) ~ 2^(2*n) * n^(n - 1/2) / (sqrt(Pi*(1+c)) * c^(n + 1/2) * (2+c)^n * exp(n - 1/2 + c^2/8)), where c = LambertW(2*exp(-2)) = 0.21771510575709011079475830443...
%t A346183 Table[Sum[Binomial[n, k]*Binomial[(k+1)^2, n], {k, 0, n}], {n, 0, 20}]
%o A346183 (PARI) a(n) = sum(k=0, n, binomial(n,k) * binomial((k+1)^2, n)); \\ _Michel Marcus_, Jul 09 2021
%Y A346183 Cf. A003236.
%K A346183 nonn
%O A346183 0,2
%A A346183 _Vaclav Kotesovec_, Jul 09 2021