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Floor-Sqrt transform of central Stirling numbers of the second kind (A007820).
0

%I #11 Jan 13 2025 16:28:19

%S 1,1,2,9,41,206,1150,7023,46279,325845,2432608,19138508,157893016,

%T 1360356046,12197663221,113489506443,1092914231524,10869407462093,

%U 111421588497433,1175241503062627,12735340966302227,141585732942425447,1612917155538690101

%N Floor-Sqrt transform of central Stirling numbers of the second kind (A007820).

%F a(n) = floor(sqrt(Stirling2(2*n,n))).

%t Table[Floor[Sqrt[StirlingS2[2n,n]]],{n,0,100}]

%o (Maxima) makelist(floor(sqrt(stirling2(2*n,n))),n,0,24);

%Y Cf. A007820.

%K nonn

%O 0,3

%A _Emanuele Munarini_, Jul 07 2011