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 A192658 #11 Jan 13 2025 16:28:31 %S A192658 1,2,6,20,72,270,1040,4036,15714,61226,238778,930716,3628520,14143922, %T A192658 55134174,214941488,838158510,3269630046,12761106790,49834920864, %U A192658 194743761948,761543265544,2980128724806,11670402459630,45734346816026,179348093549914,703781965002650 %N A192658 Binomial convolution of the Floor-Sqrt transform of central binomial coefficients. %F A192658 a(n) = Sum_{k=0..n} binomial(n,k) * floor(sqrt(binomial(2*k,k))) * floor(sqrt(binomial(2*n-2*k,n-k))). %t A192658 Table[Sum[Binomial[n,k]Floor[Sqrt[Binomial[2k,k]]]Floor[Sqrt[Binomial[2n-2k,n-k]]],{k,0,n}],{n,0,100}] %o A192658 (Maxima) makelist(sum(binomial(n,k)*floor(sqrt(binomial(2*k,k)))*floor(sqrt(binomial(2*n-2*k,n-k))),k,0,n),n,0,24); %Y A192658 Cf. A000984, A192655. %K A192658 nonn %O A192658 0,2 %A A192658 _Emanuele Munarini_, Jul 07 2011