The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A002251

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A002251

Start with the nonnegative integers; then swap L(k) and U(k) for all k >= 1, where L = A000201, U = A001950 (lower and upper Wythoff sequences).
(history; published version)

#71 by Jeffrey Shallit at Fri Jul 14 06:49:54 EDT 2023

STATUS

editing

proposed

#70 by Jeffrey Shallit at Fri Jul 14 06:49:47 EDT 2023

FORMULA

There is a 7-state Fibonacci automaton (see a002251_1.pdf) that accepts, in parallel, the Zeckendorf representations of n and a(n). - Jeffrey Shallit, Jul 14 2023

#69 by Jeffrey Shallit at Fri Jul 14 06:49:12 EDT 2023

LINKS

Jeffrey Shallit, <a href="/A002251/a002251_1.pdf">Automaton for A002251</a>

#68 by Jeffrey Shallit at Fri Jul 14 06:47:51 EDT 2023

FORMULA

There is a 7-state Fibonacci automaton (see a002251.pdf) that accepts, in parallel, the Zeckendorf representations of n and a(n). - Jeffrey Shallit, Jul 14 2023

STATUS

approved

editing

#67 by Wesley Ivan Hurt at Wed Mar 01 15:28:50 EST 2023

STATUS

editing

approved

#66 by Wesley Ivan Hurt at Wed Mar 01 15:28:43 EST 2023

COMMENTS

Self-inverse when considered as a permutation or function, i.e. , a(a(n)) = n. - Howard A. Landman, Sep 25 2001

STATUS

approved

editing

#65 by N. J. A. Sloane at Sun Mar 14 20:36:45 EDT 2021

STATUS

proposed

approved

#64 by Peter Munn at Sun Mar 14 19:51:47 EDT 2021

STATUS

editing

proposed

Discussion

Sun Mar 14

19:54

Peter Munn: Link to new sequence added by NJAS (which also links lower and upper Wythoff sequences).

#63 by Peter Munn at Sun Mar 14 19:51:25 EDT 2021

CROSSREFS

Row 0 of A018219. Cf. A073869.

Cf. A073869, A342297.

STATUS

approved

editing

#62 by N. J. A. Sloane at Sat Mar 07 13:52:25 EST 2020

LINKS

F. Michel Dekking, Jeffrey Shallit, and N. J. A. Sloane, <a href="httphttps://arxivwww.combinatorics.org/absojs/1907index.09120php/eljc/article/view/v27i1p52/8039">Queens in exile: non-attacking queens on infinite chess boards</a>, arXiv:1907Electronic J. Combin.09120 [math, 27:1 (2020), #P1.CO], July 201952.

Discussion

Sat Mar 07

13:52

OEIS Server: https://oeis.org/edit/global/2854