GCD of the numbers binomial(6*n, 6*k) for k = 1..n-1.
1, 924, 18564, 12236, 197925, 2604, 5245786, 8084, 72345, 7847, 7571564, 133196, 23350145, 275394, 11481, 2356, 5829215, 231441, 60611957, 7, 3640175, 31477204, 422234, 556, 70428575, 32767, 520926, 381094, 2804503, 179, 164632351, 764, 335611367, 93331
1
See S000739 for the sequence obtained when n is restricted to prime numbers.
T. D. Noe, Plot of 1000 terms
T. D. Noe, Table of 1000 terms
Carl McTague, On the greatest common divisor of binomial(qn,q), binomial(qn,2q),..., binomial(qn,qn-q), arXix 1510.06696 (Oct 22 2015).
(Mma) Join[{1}, Table[GCD @@ Table[Binomial[6*n, 6*k], {k, n - 1}], {n, 2, 100}]]
nonn
T. D. Noe, Oct 27 2015