A355189 Factorial splitting: write n! = x*y*z with x <= y <= z and minimal z-x; sequence gives value of x.

1, 1, 1, 1, 2, 4, 8, 14, 32, 70, 140, 324, 768, 1800, 4368, 10800, 27300, 70560, 184800, 494208, 1343680, 3704400, 10388250, 29560960, 85250880, 249318000, 738720000, 2216160000, 6729074352, 20675655000, 64245312000, 201819656500, 640760440320

Offset

0,5

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, A355190, A355191, A355192.

Sequence in context: A337500 A061297 A130711 * A093483 A028398 A359695

Adjacent sequences: A355186 A355187 A355188 * A355190 A355191 A355192

Keyword

nonn

Author

Max Alekseyev, Jun 23 2022

Status

approved