A214081 a(n) = floor( n^(1/3) )!.

1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24

Offset: 0

Author

Mohammad K. Azarian, Dec 22 2012

Keywords

• easy
• nonn

Links

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

Crossrefs

Cf. A055226, A055228, A214078, A214079, A214080, A214081, A214083.

Cf. A000142, A048766.

Programs

Derive

PROG(y := [], n := 70, LOOP(IF(n = -1, RETURN y), y := ADJOIN(FLOOR(n^(1/3))!, y), n := n - 1))

Magma

[Factorial(Floor(n^(1/3))): n in [0..80]]; // Vincenzo Librandi, Feb 13 2013

Mathematica

Table[Floor[n^(1/3)]!, {n, 0, 100}] (* T. D. Noe, Dec 23 2012 *)
Floor[CubeRoot[Range[0,90]]]! (* Harvey P. Dale, Jan 15 2024 *)

PARI

a(n) = floor(n^(1/3))!; \\ Altug Alkan, Jan 11 2016

Formula

Sum_{n>=0} 1/a(n) = 10*e. - Amiram Eldar, Aug 15 2022

a(n) = A000142(A048766(n)). - Michel Marcus, Aug 15 2022