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A214080
a(n) = (floor(sqrt(n)))!
6
1, 1, 1, 1, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 24, 24, 24, 24, 24, 24, 24, 24, 24, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 720, 720, 720, 720, 720, 720, 720, 720, 720, 720, 720, 720, 720, 5040, 5040, 5040, 5040, 5040, 5040, 5040, 5040, 5040
OFFSET
0,5
LINKS
FORMULA
Sum_{n>=0} 1/a(n) = 3*e. - Amiram Eldar, Aug 15 2022
a(n) = A000142(A000196(n)). - Michel Marcus, Aug 15 2022
MATHEMATICA
Table[Floor[Sqrt[n]]!, {n, 0, 100}] (* T. D. Noe, Dec 23 2012 *)
PROG
(Derive) PROG(y := [], n := 50, LOOP(IF( = -1, RETURN y), y := ADJOIN(FLOOR(SQRT(n))!, y), n := n - 1))
(Magma) [Factorial(Floor(Sqrt(n))): n in [0..60]]; // Vincenzo Librandi, Feb 13 2013
(PARI) a(n) = floor(sqrt(n))!; \\ Altug Alkan, Jan 11 2016
KEYWORD
easy,nonn
AUTHOR
Mohammad K. Azarian, Dec 22 2012
STATUS
approved