login
Floor-Sqrt transform of the numbers binomial(3*n,n)/(2*n+1) (A001764).
1

%I #12 Jun 25 2024 13:10:56

%S 1,1,1,3,7,16,37,88,207,496,1196,2900,7075,17344,42693,105473,261397,

%T 649638,1618527,4041401,10111385,25343883,63627940,159982510,

%U 402802976,1015454569,2562911901,6475519561,16377581829,41459980288,105047450207,266375717828,675980743615

%N Floor-Sqrt transform of the numbers binomial(3*n,n)/(2*n+1) (A001764).

%F a(n) = floor(sqrt(binomial(3*n,n)/(2*n+1))).

%t Table[Floor[Sqrt[Binomial[3n,n]/(2n+1)]],{n,0,100}]

%o (Maxima) makelist(floor(sqrt(binomial(3*n,n)/(2*n+1))),n,0,12);

%Y Cf. A001764.

%K nonn

%O 0,4

%A _Emanuele Munarini_, Jul 07 2011