GCD of the numbers binomial(4*n, 4*k) for k = 1..n-1.
1, 70, 495, 130, 4845, 23, 4095, 8990, 765, 2405, 19393, 47, 7735, 1855, 25665, 122, 1139, 71, 256595, 395, 30627, 29, 6141, 1, 10185, 10403, 51039, 4033, 3277, 1, 852841, 1270, 7205, 5, 95215, 1, 18907, 112495, 5, 41605, 20049, 167, 1677, 865, 238965, 143533
1
See S000735 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[4*n, 4*k], {k, n - 1}], {n, 2, 100}]]
nonn
T. D. Noe, Oct 27 2015