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Duffin's Sequence for Pi
Duffin's sequence for positive number
is defined by:
,
where
is the integer part of
(or the floor of
). For a given
,
is a sequence of digits 0, 1, 2, ..., 6.
If
, we get 0123456012345601234560123456…. Does this sequence have period 0123456?
Contributed by:
Izidor Hafner
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References
[1] R. J. Duffin, "The Patron Saint of Mathematics,"
The Mathematical Intelligencer
,
15
(1), 1993 p. 52.
doi:10.1007/BF03025258
.
[2] I. Vidav,
On Division with Remainder and More
(in Slovenian), Ljubljana: DMFA, 2016 pp. 85–86.
RELATED LINKS
Floor Function
(
Wolfram
MathWorld
)
Floor, Ceiling, and Round
(
Wolfram Demonstrations Project
)
PERMANENT CITATION
Izidor Hafner
"
Duffin's Sequence for Pi
"
http://demonstrations.wolfram.com/DuffinsSequenceForPi/
Wolfram Demonstrations Project
Published: August 8, 2016
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