The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A355514 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A355514

Sum of numerator and denominator in a rational approximation j/k of q = log(2)/log(3), such that q - j/k is a new minimum, i.e., q is approximated from below.
(history; published version)

#7 by Michael De Vlieger at Tue Jul 05 10:34:55 EDT 2022

STATUS

proposed

approved

#6 by Michel Marcus at Tue Jul 05 10:32:37 EDT 2022

STATUS

editing

proposed

#5 by Michel Marcus at Tue Jul 05 10:32:34 EDT 2022

CROSSREFS

Cf. A102525, A355512, A355513, A355515.

STATUS

approved

editing

#4 by Michael De Vlieger at Tue Jul 05 07:15:57 EDT 2022

STATUS

proposed

approved

#3 by Hugo Pfoertner at Tue Jul 05 06:46:36 EDT 2022

STATUS

editing

proposed

#2 by Hugo Pfoertner at Tue Jul 05 06:11:02 EDT 2022

NAME

allocated for Hugo PfoertnerSum of numerator and denominator in a rational approximation j/k of q = log(2)/log(3), such that q - j/k is a new minimum, i.e., q is approximated from below.

DATA

1, 3, 8, 13, 44, 75, 106, 243, 380, 517, 654, 791, 2510, 4229, 5948, 7667, 9386, 11105, 12824, 14543, 16262, 17981, 19700, 21419, 23138, 24857, 26576, 28295, 30014, 31733, 33452, 35171, 36890, 38609, 40328, 122703, 205078, 492531, 27869189, 166722603, 305576017

OFFSET

1,2

PROG

(PARI) a355514(upto) = {my(q=log(2)/log(3), dmin=oo); for (m=1, upto, my(n=floor(m*q), qq=n/m, d=q-qq); if (d<dmin, print1(n+m, ", "); dmin=d))};

\\ needs increased precision for larger terms

a355514(10^7)

CROSSREFS

Cf. A355512, A355513, A355515.

Terms are candidates for being in A355240, which shares 3, 8, 13, 44, 75.

KEYWORD

allocated

nonn

AUTHOR

Hugo Pfoertner, Jul 05 2022

STATUS

approved

editing

#1 by Hugo Pfoertner at Tue Jul 05 04:40:39 EDT 2022

NAME

allocated for Hugo Pfoertner

KEYWORD

allocated

STATUS

approved