
COMMENTS

No other terms below 10^9. [From Max Alekseyev, Dec 08 2011]
Integer n belongs to this sequence if n*binomial(n1,k)*bernoulli(k) is integer for each k=0,1,...,n1. [From Max Alekseyev, Dec 08 2011]
If for a prime p>=3, n ends with basep digits a,b with a+b>=p, then for k=(a+1)(p1), the number n*binomial(n1,k)*bernoulli(k) is not integer (contains p in the denominator). For p=3, this implies that n == 5, 7, or 8 (mod 9) are not in this sequence; for p=5, this implies that n = 9, 13, 14, 17, 18, 19, 21, 22, 23, or 24 (mod 25) are not in this sequence; and so on. [From Max Alekseyev, Jun 04 2012]
Conjecture: for every integer n>78 there exists a prime p such that the sum of last two basep digits of n is at least p. This conjecture would imply that this sequence is finite and 60 is the last term. The conjecture is true for n such that n+1 is not a prime or a power of 2. [From Max Alekseyev, Jun 04 2012]
