The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A066321

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A066321

Binary representation of base-(i-1) expansion of n: replace i-1 with 2 in base-(i-1) expansion of n.
(history; published version)

#56 by N. J. A. Sloane at Tue Jan 19 21:14:23 EST 2021

STATUS

proposed

approved

#55 by Kevin Ryde at Tue Jan 19 20:15:12 EST 2021

STATUS

editing

proposed

#54 by Kevin Ryde at Tue Jan 19 20:13:16 EST 2021

LINKS

Joerg Arndt, <a href="https://jjj.de/fxt/demo/bits/index.html#radix-m1pi">The fxt demos: bit wizardry, radix(-1+i)</a>, C++ radix-m1pi.h function bin_real_to_radm1pi().

STATUS

approved

editing

#53 by N. J. A. Sloane at Sat Feb 22 20:54:24 EST 2020

COMMENTS

A282137 gives all first differences in the order of decreasing occurence occurrence frequency.

Discussion

Sat Feb 22

20:54

OEIS Server: https://oeis.org/edit/global/2851

#52 by Joerg Arndt at Sun Sep 08 05:38:39 EDT 2019

STATUS

reviewed

approved

#51 by Andrey Zabolotskiy at Sun Sep 08 05:36:12 EDT 2019

STATUS

proposed

reviewed

#50 by Kevin Ryde at Sun Sep 08 04:41:00 EDT 2019

STATUS

editing

proposed

#49 by Kevin Ryde at Sun Sep 08 04:38:13 EDT 2019

COMMENTS

To get Penney shows that since (i-1)^4 = -4, the representation a(n), write of a real integer n is found by writing n in base -4 using digits 0 to 3 (A007608), change changing those digits to bit strings 0000, 0001, 1100, 1101 respectively, and interpret interpreting as binary. [Penney] - Kevin Ryde, Sep 07 2019

STATUS

approved

editing

Discussion

Sun Sep 08

04:41

Kevin Ryde: Ok.  As a comment instead of formula can slip in the reason for base -4.

#48 by Michel Marcus at Sun Sep 08 04:18:35 EDT 2019

STATUS

reviewed

approved

#47 by Joerg Arndt at Sun Sep 08 02:11:47 EDT 2019

STATUS

proposed

reviewed