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A186546 Floor-Sqrt transform of Catalan numbers (A000108). 2
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,4
LINKS
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
KEYWORD
nonn
AUTHOR
Emanuele Munarini, Jul 07 2011
STATUS
approved

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Last modified April 18 03:01 EDT 2024. Contains 371767 sequences. (Running on oeis4.)