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A192573 a(n) = Sum_{k=0..n} floor(sqrt(Bell(k)))*floor(sqrt(Bell(n-k))). 2

%I

%S 1,2,3,6,11,24,52,112,251,574,1347,3242,7996,20202,52245,138200,

%T 373640,1031702,2907207,8353892,24460864,72931232,221265823,682632254,

%U 2140211338,6814954528,22027143227,72228405060,240154754720

%N a(n) = Sum_{k=0..n} floor(sqrt(Bell(k)))*floor(sqrt(Bell(n-k))).

%t Table[Sum[Floor[Sqrt[BellB[k]]]Floor[Sqrt[BellB[n-k]]],{k,0,n}],{n,0,100}]

%o (Maxima) makelist(sum(floor(sqrt(belln(k)))*floor(sqrt(belln(n-k))),k,0,n),n,0,28);

%Y Cf. A192570, A192571, A192572.

%K nonn

%O 0,2

%A _Emanuele Munarini_, Jul 04 2011

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Last modified January 27 10:39 EST 2022. Contains 350607 sequences. (Running on oeis4.)