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Search: id:A110499
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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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1
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OFFSET
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1,1
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COMMENT
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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
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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
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Cf. A110495 (n such that binomial(2n, n) is cubefree).
Sequence in context: A013780 A139300 A004804 this_sequence A009013 A079711 A036107
Adjacent sequences: A110496 A110497 A110498 this_sequence A110500 A110501 A110502
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KEYWORD
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bref,nonn
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AUTHOR
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T. D. Noe (noe(AT)sspectra.com), Jul 22 2005
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