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a(n) = binomial(A349958(n),A374959(n))/n.
3

%I #13 Jul 30 2024 11:07:56

%S 1,1,1,1,1,1,1,1,1,1,1,3,1,2,1,1,1,2,1,1,1,15,1,5,1,3,1,1,1,4,1,1,5,4,

%T 1,1,1,102,2,3,1,2,1,5,1,10659,1,91,1,6,3,33,1,325,1,1,3,7,1,2,1,8,2,

%U 1,11,5,1,2,1463,1,1,11,1,9,4,51,6,1,1,7,1

%N a(n) = binomial(A349958(n),A374959(n))/n.

%H Pontus von Brömssen, <a href="/A375082/b375082.txt">Table of n, a(n) for n = 1..10000</a>

%o (Python)

%o from math import comb

%o def A375082(n): return next(a for a, b in (divmod(comb(j,k),n) for j in range(n+1) for k in range(j+1)) if not b) # _Chai Wah Wu_, Jul 30 2024

%Y Cf. A007318, A349958, A374959, A375083, A375084.

%K nonn

%O 1,12

%A _Pontus von Brömssen_, Jul 29 2024