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A296357
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a(n) = ceiling of n/Pi.
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1
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1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 17, 17, 17, 18, 18, 18, 19, 19, 19, 20, 20, 20, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 24, 24, 24, 25, 25, 25, 26, 26, 26, 27, 27
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OFFSET
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1,4
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COMMENTS
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The problem asks if a(n) is also equal to ceiling(cosec(Pi/n)) for n>3.
First differs from ceiling(cosec(Pi/n)) for n>3 at n=80143857 (Stadler, 2019; Velleman and Wagon, 2020). - Amiram Eldar, Nov 08 2020
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REFERENCES
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Daniel J. Velleman and Stan Wagon, Bicycle or Unicycle?, MAA Press, 2020, pp. 32 and 192-194.
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LINKS
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Jonathan D. Lee and Stan Wagon, Proposers, Problem 12006, The American Mathematical Monthly, Vol. 124, No. 10 (2017), p. 970.
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MATHEMATICA
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a[n_] := Ceiling[n/Pi]; Array[a, 100] (* Amiram Eldar, Nov 08 2020 *)
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PROG
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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