A061032 Factorial splitting: write n! = x*y*z with x<y<z and x maximal and z is minimal; sequence gives value of z.

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

3,1

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.

Sequence in context: A232268 A103049 A103016 * A091424 A092839 A185874

Adjacent sequences: A061029 A061030 A061031 * A061033 A061034 A061035

Keyword

nonn

Author

Ed Pegg Jr, May 25 2001

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

Status

approved