A061031 Factorial splitting: write n! = x*y*z with x

2, 3, 5, 9, 16, 35, 70, 150, 336, 770, 1848, 4455, 10920, 27648, 70720, 185895, 496125, 1344000, 3706560, 10395840, 29568000, 85299200, 249356800, 738840960, 2216522880, 6730407936, 20678434920, 64248260076, 201838500864

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, A061032, 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