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 A192574 #10 Jun 25 2024 12:29:28 %S A192574 1,2,4,10,28,84,282,968,3574,13526,53248,215288,889072,3749808, %T A192574 16120368,70569136,314384296,1424490556,6561255338,30706715780, %U A192574 145947430208,704170163362,3447329246534,17116783509170,86161074446406,439511863198824,2271055875812692 %N A192574 a(n) = Sum_{k=0..n} binomial(n,k)*floor(sqrt(Bell(k)))*floor(sqrt(Bell(n-k))). %t A192574 Table[Sum[Binomial[n,k]Floor[Sqrt[BellB[k]]]Floor[Sqrt[BellB[n-k]]],{k,0,n}],{n,0,100}] %o A192574 (Maxima) makelist(sum(binomial(n,k)*floor(sqrt(belln(k)))*floor(sqrt(belln(n-k))),k,0,n),n,0,28); %Y A192574 Cf. A192570, A192571, A192572, A192573. %K A192574 nonn %O A192574 0,2 %A A192574 _Emanuele Munarini_, Jul 04 2011