The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A320283 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A320283

Lexicographical ordering of pure imaginary integers in the base (-1+i) numeral system.
(history; published version)

#29 by N. J. A. Sloane at Thu Jan 31 08:22:45 EST 2019

STATUS

proposed

approved

#28 by Andrey Zabolotskiy at Thu Jan 31 04:26:34 EST 2019

STATUS

editing

proposed

#27 by Andrey Zabolotskiy at Thu Jan 31 04:26:24 EST 2019

KEYWORD

sign,easy,new

STATUS

proposed

editing

#26 by Andrey Zabolotskiy at Thu Jan 31 04:25:34 EST 2019

STATUS

editing

proposed

#25 by Andrey Zabolotskiy at Thu Jan 31 04:24:48 EST 2019

FORMULA

a(n) = -4*a(floor(n/4)) + a(n mod 4) for n > 3. (End)

STATUS

proposed

editing

Discussion

Thu Jan 31

04:25

Andrey Zabolotskiy: (For n<4, the last formula is also true, although tautological).

#24 by Andrey Zabolotskiy at Thu Jan 31 04:18:06 EST 2019

STATUS

editing

proposed

#23 by Andrey Zabolotskiy at Thu Jan 31 04:15:45 EST 2019

FORMULA

From Andrey Zabolotskiy, Jan 31 2019: (Start)

a(n) = A073791(2*n)/2.

a(n) = -a(4*n)/4.

a(n) = -4*a(floor(n/4)) + a(n mod 4) for n > 3. (End)

CROSSREFS

Cf. A066321, A256441, A073791.

STATUS

approved

editing

Discussion

Thu Jan 31

04:18

Andrey Zabolotskiy: The 2nd formula is strictly less informative than the 3rd one, but it highlights the duality between this sequence and A073791.

#22 by OEIS Server at Thu Jan 31 03:31:38 EST 2019

LINKS

Andrey Zabolotskiy, <a href="/A320283/b320283_1.txt">Table of n, a(n) for n = 0..8191</a> (terms up to 255 from Andreas K. Badea)

#21 by Bruno Berselli at Thu Jan 31 03:31:38 EST 2019

STATUS

reviewed

approved

Discussion

Thu Jan 31

03:31

OEIS Server: Installed new b-file as b320283.txt.  Old b-file is now b320283_1.txt.

#20 by Joerg Arndt at Thu Jan 31 02:26:57 EST 2019

STATUS

proposed

reviewed