A371472 Least positive number k such that binomial(k^2,k) is divisible by n^2.

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

Offset: 1

Author

Seiichi Manyama, Mar 24 2024

Keywords

• nonn
• easy

Links

• Seiichi Manyama, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A014062, A081370, A371306.

Programs

PARI

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