A061032 Factorial splitting: write n! = x*y*z with x

3, 4, 6, 10, 21, 36, 81, 168, 360, 810, 1872, 4480, 11088, 27720, 71280, 186368, 496128, 1347192, 3720960, 10407936, 29576988, 85322160, 249500160, 738904320, 2216712960, 6732000000, 20680540160, 64260000000, 201860859375

Offset: 3

Author

Ed Pegg Jr, May 25 2001

Keywords

• nonn

Comments

We first maximize x and then minimize z, which may be different from doing the opposite way around. For example, 7! = 15*16*21 = 14*18*20 is the case when absolute maximum of x (=15) and absolute minimum of z (=20) cannot be achieved together. - Max Alekseyev, Jun 18 2022

References

• Luc Kumps, personal communication.

Links

• Max Alekseyev, Table of n, a(n) for n = 3..100

Crossrefs

Cf. A061030, A061031, A061033, A060776, A060777, A060795, A060796, A200743, A200744.

Extensions

a(10) and a(11) corrected and a(14)-a(31) from Donovan Johnson, May 11 2010

Definition and a(14), a(18), a(24) are corrected by Max Alekseyev, Apr 10 2022