A242426 - OEIS

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A242426

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

1

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,6

LINKS

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

FORMULA

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

PROG

(Python)

import math

for i in range(1, 32): print(math.factorial(i)//(i**3), end=', ')

CROSSREFS

Cf. A000142, A000290, 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

EXTENSIONS

Formula corrected by David Radcliffe, Aug 07 2025

STATUS

approved