A186546 Floor-Sqrt transform of Catalan numbers (A000108).

1, 1, 1, 2, 3, 6, 11, 20, 37, 69, 129, 242, 456, 861, 1635, 3113, 5946, 11386, 21854, 42038, 81019, 156416, 302460, 585712, 1135739, 2204982, 4285715, 8338678, 16240318, 31658209, 61765576, 120601144, 235656667, 460799447, 901634095, 1765300397, 3458294143, 6778702259

Offset

0,4

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..89

Formula

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

Mathematica

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

Prog

(Maxima) makelist(floor(sqrt(binomial(2*n, n)/(n+1))), n, 0, 24);

Crossrefs

Sequence in context: A047081 A115792 A054177 * A318910 A141435 A096080

Adjacent sequences: A186543 A186544 A186545 * A186547 A186548 A186549

Keyword

nonn

Author

Emanuele Munarini, Jul 07 2011

Status

approved