A355191 Factorial splitting: write n! = x*y*z with x <= y <= z and minimal z-x; sequence gives value of z.

1, 1, 2, 3, 4, 6, 10, 20, 36, 72, 162, 352, 810, 1872, 4480, 11088, 27720, 71280, 186368, 496128, 1347192, 3720960, 10407936, 29576988, 85322160, 249500160, 738904320, 2216712960, 6732000000, 20680540160, 64257392640, 201852518400, 640832000000, 2055425699250, 6658777165824, 21781337550336

Offset

0,3

Comments

Apparently we have x < y < z for all n > 9. If so, using strict inequalities x < y < z in the definition would make the sequence undefined for n < 3 and affect only a(9) by switching from 9! = 70*72*72 to 9! = 63*72*80.

Links

Max Alekseyev, Table of n, a(n) for n = 0..100

Crossrefs

Cf. A061030, A061031, A061032, A061033, A060776, A060777, A060795, A060796, A200743, A200744, A355189, A355190, A355192.

Sequence in context: A056469 A228863 A004047 * A093912 A181054 A134696

Adjacent sequences: A355188 A355189 A355190 * A355192 A355193 A355194

Keyword

nonn

Author

Max Alekseyev, Jun 23 2022

Status

approved