A192665 Floor-Sqrt transform of the numbers binomial(3*n,n)/(2*n+1) (A001764).

1, 1, 1, 3, 7, 16, 37, 88, 207, 496, 1196, 2900, 7075, 17344, 42693, 105473, 261397, 649638, 1618527, 4041401, 10111385, 25343883, 63627940, 159982510, 402802976, 1015454569, 2562911901, 6475519561, 16377581829, 41459980288, 105047450207, 266375717828, 675980743615

Offset: 0

Author

Emanuele Munarini, Jul 07 2011

Keywords

• nonn

Crossrefs

Cf. A001764.

Programs

Mathematica

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

Maxima

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

Formula

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