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A110499
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Largest k such that n is the highest power in the factorization of binomial(2k,k).
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0
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OFFSET
| 1,1
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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 (noe(AT)sspectra.com), Jul 27 2005
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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.
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CROSSREFS
| Cf. A110495 (n such that binomial(2n, n) is cubefree).
Sequence in context: A139300 A004804 A159859 * A009013 A198899 A160004
Adjacent sequences: A110496 A110497 A110498 * A110500 A110501 A110502
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KEYWORD
| bref,nonn
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AUTHOR
| T. D. Noe (noe(AT)sspectra.com), Jul 22 2005
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