The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A003242 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A003242

Number of compositions of n such that no two adjacent parts are equal (these are sometimes called Carlitz compositions).
(history; published version)

#126 by Russ Cox at Sun Jan 05 19:51:33 EST 2025

LINKS

L. Carlitz, <a href="https://web.archive.org/web/2024*/https://www.fq.math.ca/Scanned/14-3/carlitz2.pdf">Restricted Compositions</a>, Fibonacci Quarterly, 14 (1976) 254-264.

Discussion

Sun Jan 05

19:51

OEIS Server: https://oeis.org/edit/global/3012

#125 by Russ Cox at Sun Jan 05 19:24:38 EST 2025

LINKS

L. Carlitz, <a href="httphttps://www.fq.math.ca/Scanned/14-3/carlitz2.pdf">Restricted Compositions</a>, Fibonacci Quarterly, 14 (1976) 254-264.

Discussion

Sun Jan 05

19:24

OEIS Server: https://oeis.org/edit/global/3011

#124 by Harvey P. Dale at Sat Nov 23 15:33:43 EST 2024

STATUS

editing

approved

#123 by Harvey P. Dale at Sat Nov 23 15:33:39 EST 2024

MATHEMATICA

Table[Count[Flatten[Permutations/@IntegerPartitions[n], 1], _?(FreeQ[Differences[#], 0]&)], {n, 0, 20}] (* The program generates the first 21 terms of the sequence. *) (* Harvey P. Dale, Nov 23 2024 *)

STATUS

approved

editing

#122 by N. J. A. Sloane at Fri Aug 16 20:51:37 EDT 2024

STATUS

editing

approved

#121 by N. J. A. Sloane at Fri Aug 16 20:51:35 EDT 2024

NAME

Number of compositions of n such that no two adjacent parts are equal (these are sometimes called Carlitz compositions).

STATUS

approved

editing

#120 by Alois P. Heinz at Fri Oct 27 18:27:45 EDT 2023

STATUS

editing

approved

#119 by Alois P. Heinz at Fri Oct 27 18:27:41 EDT 2023

LINKS

Christian G. Bower and Alois P. Heinz, <a href="/A003242/b003242.txt">Table of n, a(n) for n = 0..4100</a> (first 501 terms from Christian G. Bower)

STATUS

approved

editing

#118 by Michael De Vlieger at Wed Aug 23 08:34:57 EDT 2023

STATUS

proposed

approved

#117 by Michel Marcus at Wed Aug 23 05:42:30 EDT 2023

STATUS

editing

proposed