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Least positive number k such that binomial(k^2,k) is divisible by n^2.
1

%I #11 Mar 24 2024 10:48:54

%S 1,3,8,6,9,8,10,23,16,16,16,14,23,10,9,23,45,16,27,16,34,16,33,23,94,

%T 23,105,20,77,16,54,91,16,45,19,16,83,27,23,30,58,34,114,16,16,40,133,

%U 23,130,94,45,23,75,105,16,38,27,77,145,16,106,54,47,91,49,16,190,45,80,19,123,47,283,83,94,27,40,23,137

%N Least positive number k such that binomial(k^2,k) is divisible by n^2.

%H Seiichi Manyama, <a href="/A371472/b371472.txt">Table of n, a(n) for n = 1..1000</a>

%o (PARI) a(n) = my(k=1); while(binomial(k^2, k)%n^2>0, k++); k;

%Y Cf. A014062, A081370, A371306.

%K nonn,easy

%O 1,2

%A _Seiichi Manyama_, Mar 24 2024