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Search: id:A062527
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| A062527 |
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Smallest number (>1) which appears at least n times in Pascal's triangle. |
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+0
2
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OFFSET
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1,1
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COMMENT
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Singmaster's conjecture is that this sequence is finite.
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REFERENCES
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H. L. Abbott, P. Erdos and D. Hanson, On the number of times an integer occurs as a binomial coefficient, American Mathematical Monthly 81 (1974) 256-261.
David Singmaster, How often does an integer occur as a binomial coefficient? American Mathematical Monthly 78 (1971) 385-386.
David Singmaster, Repeated binomial coefficients and Fibonacci numbers, Fibonacci Quarterly 13 (1975) 295-298.
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LINKS
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FTL Magazine, One Thousand and One Coincidences
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EXAMPLE
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a(8)=3003 since 3003 =C(3003,1) =C(3003,3002) =C(78,2) =C(78,76) =C(15,5) =C(15,10) =C(14,6) = C(14,8)
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CROSSREFS
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Cf. A003015, A003016, A006987, A007318, A059233.
Sequence in context: A111275 A054357 A056606 this_sequence A038752 A125714 A004038
Adjacent sequences: A062524 A062525 A062526 this_sequence A062528 A062529 A062530
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KEYWORD
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nonn,nice
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Jul 10 2001
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