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 A208530 Numbers n such that both n*Pi and n*e are within 1/sqrt(n) of integers. 2
 1, 2, 3, 4, 5, 6, 7, 8, 14, 15, 21, 22, 28, 29, 35, 36, 43, 50, 57, 64, 71, 78, 85, 92, 671, 678, 685, 1356, 1363, 2034, 2041, 2719, 3397, 4075, 4753, 5431, 18412, 19090, 19768 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS For any irrational x and y there exist infinitely many positive integers n such that max(|n*x - Z|,|n*y - Z|)) < 1/sqrt(n), where Z is the set of integers. LINKS Robert G. Wilson v, Table of n, a(n) for n = 1..66 EXAMPLE |50*Pi - 157| and |50*e - 136| are both less than 1/sqrt(50) so 50 is in the sequence. MAPLE nm:= x -> abs(x-round(x)): f:= n -> is(max(nm(n*Pi), nm(n*exp(1)))

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Last modified May 9 13:42 EDT 2021. Contains 343742 sequences. (Running on oeis4.)