A192574 a(n) = Sum_{k=0..n} binomial(n,k)*floor(sqrt(Bell(k)))*floor(sqrt(Bell(n-k))).
1, 2, 4, 10, 28, 84, 282, 968, 3574, 13526, 53248, 215288, 889072, 3749808, 16120368, 70569136, 314384296, 1424490556, 6561255338, 30706715780, 145947430208, 704170163362, 3447329246534, 17116783509170, 86161074446406, 439511863198824, 2271055875812692
Offset: 0
Keywords
Programs
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Mathematica
Table[Sum[Binomial[n,k]Floor[Sqrt[BellB[k]]]Floor[Sqrt[BellB[n-k]]],{k,0,n}],{n,0,100}] -
Maxima
makelist(sum(binomial(n,k)*floor(sqrt(belln(k)))*floor(sqrt(belln(n-k))),k,0,n),n,0,28);