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URL: https://oeis.org/A192655

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A192655
Floor-Sqrt transform of central binomial coefficients (A000984).
4
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
FORMULA
a(n) = floor(sqrt(binomial(2*n,n))).
a(n) = A000196(A000984(n)). - Jason Yuen, Oct 21 2024
From Amiram Eldar, Oct 01 2025: (Start)
a(n) = sqrt(A065738(n)).
a(n) ~ 2^n / (Pi*n)^(1/4). (End)
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
(PARI) a(n) = sqrtint(binomial(2*n, n)) \\ Jason Yuen, Oct 21 2024
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Emanuele Munarini, Jul 07 2011
STATUS
approved