A376376 Least number that can be written as a multinomial coefficient in exactly n ways, or 0 if no such number exists.

2, 10, 6, 420, 120, 210, 4324320, 7207200, 720720, 360360, 6983776800, 9777287520, 13967553600, 48886437600, 195545750400, 24736537425600, 586637251200, 293318625600, 148419224553600, 742096122768000, 28941748787952000, 296838449107200, 1736504927277120000

Offset: 1

Author

Pontus von Brömssen, Sep 23 2024

Keywords

• nonn

Comments

a(n) is the least number that occurs exactly n times in A036038 or A376367, i.e., the least number m such that A376369(m) = n.

After a(62), the sequence continues (where "?" represents terms that are either 0 or greater than 10^29): ?, 92098021748598694855458432000, ?, 6268725246643132945351680000, 1567181311660783236337920000, ?, 3134362623321566472675840000. After a(69), all terms are either 0 or larger than 10^29.

It seems that a(n) often is in A025487, at least for small n. The exceptions are n = 2, 12, 26, 30, 31, 33, 34, 35, 36, 37, 38, 42, 44, ... .

Links

• Pontus von Brömssen, Table of n, a(n) for n = 1..62

Crossrefs

First column of A376370.

Cf. A025487, A036038, A376367, A376369.