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

1,1

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.

Sequence in context: A386557 A393330 A346498 * A213135 A037187 A248061

Adjacent sequences: A376373 A376374 A376375 * A376377 A376378 A376379

Keyword

nonn

Author

Pontus von Brömssen, Sep 23 2024

Status

approved