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A036413 Values of n for which there are no empty intervals when fractional_part(i E) for i = 1, ..., n is plotted along [ 0, 1 ] subdivided into n equal regions. 1
1, 2, 3, 4, 6, 7, 32, 35, 39, 71, 465, 536, 1001, 8544, 9545, 18089, 190435 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The sequence is infinite since it contains all denominators of continued fraction convergents of E. The next denominator is 190435, but it has yet to be proved that there are no other terms before it. - Ivan Neretin, Jan 23 2018

a(17) = 190435 verified as the next term. - Sean A. Irvine, Oct 31 2020

LINKS

Table of n, a(n) for n=1..17.

Eric Weisstein's World of Mathematics, Equidistributed Sequence.

Eric Weisstein's World of Mathematics, Golden Ratio

CROSSREFS

Cf. A036412.

Sequence in context: A077292 A270475 A171249 * A069912 A152306 A120817

Adjacent sequences:  A036410 A036411 A036412 * A036414 A036415 A036416

KEYWORD

nonn,more

AUTHOR

Eric W. Weisstein

EXTENSIONS

a(17) from Sean A. Irvine, Oct 31 2020

STATUS

approved

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Last modified January 23 23:01 EST 2022. Contains 350515 sequences. (Running on oeis4.)