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A110499
Largest k such that n is the highest power in the factorization of binomial(2k,k).
0
4, 1056, 540928
OFFSET
1,1
COMMENTS
Checked all k < 10^8. a(1) has been proved. a(2) and a(3) are conjectured.
Checked all k < 10^9. a(4) is at least 537927682. - T. D. Noe, Jul 27 2005
EXAMPLE
a(1)=4 because binomial(8,4) is the largest squarefree central binomial coefficient. a(2)=1056 because binomial(2112,1056) is the largest cubefree.
CROSSREFS
Cf. A110495 (n such that binomial(2n, n) is cubefree).
Sequence in context: A004804 A221228 A159859 * A009013 A351618 A367956
KEYWORD
bref,nonn
AUTHOR
T. D. Noe, Jul 22 2005
STATUS
approved