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Revision History for A105203

(Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A105203

Trajectory of 1 under the morphism f: 1->{1,2,1}, 2->{2,3,2}, 3->{3,1,3}.
(history; published version)

#15 by N. J. A. Sloane at Sat Aug 12 13:03:10 EDT 2017

STATUS

proposed

approved

#14 by Antti Karttunen at Sat Aug 12 05:01:33 EDT 2017

STATUS

editing

proposed

#13 by Antti Karttunen at Sat Aug 12 04:57:52 EDT 2017

LINKS

Antti Karttunen, <a href="/A105203/b105203.txt">Table of n, a(n) for n = 0..19682</a>

#12 by Antti Karttunen at Sat Aug 12 04:53:05 EDT 2017

FORMULA

a(0) = 1; and for n > 1, a(n) = A105202(n+A003462(1+A062153(n))). - Antti Karttunen, Aug 12 2017

PROG

(Scheme) (define (A105203 n) (if (zero? n) 1 (A105202 (+ n (A003462 (+ 1 (A062153 n))))))) ;; Antti Karttunen, Aug 12 2017

CROSSREFS

Cf. A003462, A062153, A073058, A105141, A105202.

STATUS

approved

editing

#11 by N. J. A. Sloane at Sat Oct 01 21:11:34 EDT 2016

STATUS

editing

approved

#10 by N. J. A. Sloane at Sat Oct 01 21:11:31 EDT 2016

LINKS

<a href="/index/Fi#FIXEDPOINTS">Index entries for sequences that are fixed points of mappings</a>

STATUS

approved

editing

#9 by N. J. A. Sloane at Tue Jun 16 19:14:05 EDT 2015

STATUS

reviewed

approved

#8 by Joerg Arndt at Tue Jun 16 07:15:21 EDT 2015

STATUS

proposed

reviewed

#7 by Michel Marcus at Tue Jun 16 06:48:29 EDT 2015

STATUS

editing

proposed

#6 by Michel Marcus at Tue Jun 16 06:48:23 EDT 2015

REFERENCES

F. M. Dekking, Recurrent Sets, Advances in Mathematics, vol. 44, no. 1, 1982, page 96, section 4.10

LINKS

F. M. Dekking, <a href="http://dx.doi.org/10.1016/0001-8708(82)90066-4">Recurrent sets</a>, Advances in Mathematics, vol. 44, no. 1 (1982), 78-104; page 96, section 4.10.

MATHEMATICA

Nest[ Flatten[ # /. {1 -> {1, 2, 1}, 2 -> {2, 3, 2}, 3 -> {3, 1, 3}}] &, {1}, 5] (from _* _Robert G. Wilson v_, Apr 12 2005 *)

STATUS

approved

editing