cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A376376 #15 Oct 01 2024 10:52:37
%S A376376 2,10,6,420,120,210,4324320,7207200,720720,360360,6983776800,
%T A376376 9777287520,13967553600,48886437600,195545750400,24736537425600,
%U A376376 586637251200,293318625600,148419224553600,742096122768000,28941748787952000,296838449107200,1736504927277120000
%N A376376 Least number that can be written as a multinomial coefficient in exactly n ways, or 0 if no such number exists.
%C A376376 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.
%C A376376 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.
%C A376376 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, ... .
%H A376376 Pontus von Brömssen, <a href="/A376376/b376376.txt">Table of n, a(n) for n = 1..62</a>
%Y A376376 First column of A376370.
%Y A376376 Cf. A025487, A036038, A376367, A376369.
%K A376376 nonn
%O A376376 1,1
%A A376376 _Pontus von Brömssen_, Sep 23 2024