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A376372 Numbers that occur exactly twice in A036038, i.e., numbers m such that the multinomial coefficient (x_1 + ... + x_k)!/(x_1! * ... * x_k!) is equal to m for exactly 2 integer partitions (x_1, ..., x_k).

%I A376372 #6 Sep 23 2024 11:33:24
%S A376372 10,12,15,21,24,28,35,36,42,45,55,66,70,72,78,84,91,110,126,132,136,
%T A376372 140,153,156,165,168,171,180,182,190,220,231,240,253,272,276,280,286,
%U A376372 300,306,325,330,336,342,351,364,378,380,406,435,455,465,496,506,528,552
%N A376372 Numbers that occur exactly twice in A036038, i.e., numbers m such that the multinomial coefficient (x_1 + ... + x_k)!/(x_1! * ... * x_k!) is equal to m for exactly 2 integer partitions (x_1, ..., x_k).
%C A376372 Numbers m such that A376369(m) = 2, i.e., numbers that appear exactly twice in A376367.
%H A376372 Pontus von Brömssen, <a href="/A376372/b376372.txt">Table of n, a(n) for n = 1..10000</a>
%e A376372 10 is a term, because it can be represented as a multinomial coefficient in exactly 2 ways: 10 = 10!/(1!*9!) = 5!/(2!*3!).
%Y A376372 Second row of A376370.
%Y A376372 Subsequence of A325472.
%Y A376372 Cf. A036038, A376367, A376369.
%K A376372 nonn
%O A376372 1,1
%A A376372 _Pontus von Brömssen_, Sep 23 2024