A242426 floor(n! / n^3).

1, 0, 0, 0, 0, 3, 14, 78, 497, 3628, 29990, 277200, 2834328, 31770514, 387459072, 5108103000, 72397196844, 1097800704000, 17735107218083, 304112751022080, 5516784599040000, 105559797875432727, 2124765080865042873, 44881973505008640000, 992717442773183102976

Offset

1,6

Links

Table of n, a(n) for n=1..25.

Formula

a(n) = A000142(n-1) / A000290(n).

Prog

(Python)
import math
for i in range(1, 32): print str(math.factorial(i)/(i**3))+', ',

Crossrefs

Cf. A000142, A000578, A072230, A242427.

Cf. A226198 (floor(n!/n^2)).

Sequence in context: A364739 A366083 A368938 * A001564 A277132 A330074

Adjacent sequences: A242423 A242424 A242425 * A242427 A242428 A242429

Keyword

nonn

Author

Alex Ratushnyak, May 14 2014

Status

approved