The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A194813 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A194813

Number of integers k in [1,n] such that {n*r + k*r} < {n*r - k*r}, where { } = fractional part and r = (1+sqrt(5))/2 (the golden ratio).
(history; published version)

#15 by Michael De Vlieger at Sat Jun 25 10:00:24 EDT 2022

STATUS

proposed

approved

#14 by Jon E. Schoenfield at Sat Jun 25 08:34:00 EDT 2022

STATUS

editing

proposed

#13 by Jon E. Schoenfield at Sat Jun 25 08:33:57 EDT 2022

NAME

Number of integers k in [1,n] such that {n*r + k*r} < {n*r - k*r}, where { } = fractional part and r = (1+sqrt(5))/2 (the golden ratio).

COMMENTS

A194813 + A194814 = A000027 for n > 0.

EXAMPLE

{4r+1r} = 0.09...; {4r-1r} = 0.85...;

{4r+2r} = 0.70...; {4r-2r} = 0.23...;

{4r+3r} = 0.32...; {4r-3r} = 0.61...;

{4r+4r} = 0.94...; {4r-4r} = 0.00...;

STATUS

proposed

editing

#12 by Michel Marcus at Sat Jun 25 05:34:51 EDT 2022

STATUS

editing

proposed

#11 by Michel Marcus at Sat Jun 25 05:34:48 EDT 2022

CROSSREFS

Cf. A001622, A194814, A194738.

STATUS

proposed

editing

#10 by Sean A. Irvine at Sat Jun 25 05:15:13 EDT 2022

STATUS

editing

proposed

#9 by Sean A. Irvine at Sat Jun 25 05:15:10 EDT 2022

CROSSREFS

Partial sums of A327174.

STATUS

approved

editing

#8 by Russ Cox at Fri Mar 30 18:57:44 EDT 2012

AUTHOR

_Clark Kimberling (ck6(AT)evansville.edu), _, Sep 03 2011

Discussion

Fri Mar 30

18:57

OEIS Server: https://oeis.org/edit/global/285

#7 by T. D. Noe at Sun Sep 04 00:02:02 EDT 2011

STATUS

proposed

approved

#6 by Clark Kimberling at Sat Sep 03 20:42:24 EDT 2011

STATUS

editing

proposed