A192655 Floor-Sqrt transform of central binomial coefficients (A000984).

1, 1, 2, 4, 8, 15, 30, 58, 113, 220, 429, 839, 1644, 3224, 6333, 12454, 24516, 48307, 95263, 188003, 371276, 733660, 1450551, 2869395, 5678697, 11243247, 22269228, 44124136, 87456792, 173399153, 343896178, 682223096, 1353744488, 2686899408, 5334139244, 10591802387

Offset

0,3

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Formula

a(n) = floor(sqrt(binomial(2*n,n)).

Mathematica

Table[Floor[Sqrt[Binomial[2n, n]]], {n, 0, 100}]

Prog

(Maxima) makelist(floor(sqrt(binomial(2*n, n))), n, 0, 24);
(Magma) [Floor(Sqrt(Binomial(2*n, n))): n in [0..40]]; // Vincenzo Librandi, Apr 01 2012

Crossrefs

Sequence in context: A065494 A134044 A079967 * A018088 A374682 A189101

Adjacent sequences: A192652 A192653 A192654 * A192656 A192657 A192658

Keyword

nonn

Author

Emanuele Munarini, Jul 07 2011

Status

approved