OFFSET
1,1
COMMENTS
Needs to be checked. If p is prime >=m then p^3 divides {binomial(m*p,p)-m}.
EXAMPLE
The sequence of k>=2 such that k^3 divides {binomial(12*k,k)-12} is : 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53... which is exactly the sequence of prime numbers. Hence 12 is in the sequence.
PROG
(PARI) isok(n) = {my(nb = 0); for (k=2, n+10, if (!((binomial(n*k, k) - n) % k^3), nb++; if (k != prime(nb), return (0); )); ); return (1); } \\ Michel Marcus, Dec 06 2013; corrected Jun 13 2006
CROSSREFS
KEYWORD
nonn
AUTHOR
Benoit Cloitre, Oct 02 2003
EXTENSIONS
More terms from Michel Marcus, Dec 06 2013
STATUS
approved