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A218876 Triangle read by rows: T(n,k) (1 <= k <= n) = number of non-robust primitive binary sequences of length n and curling number k. 2

%I #15 Jun 17 2021 05:41:24

%S 0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,2,2,0,0,0,0,

%T 0,0,6,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,12,6,2,0,0,0,0,0,0,0,0,10,

%U 2,0,0,0,0,0,0,0,0,0,0,26,6,0,0,0,0,0,0,0,0,0,0,0

%N Triangle read by rows: T(n,k) (1 <= k <= n) = number of non-robust primitive binary sequences of length n and curling number k.

%H B. Chaffin, J. P. Linderman, N. J. A. Sloane and Allan Wilks, <a href="http://arxiv.org/abs/1212.6102">On Curling Numbers of Integer Sequences</a>, arXiv:1212.6102, Dec 25 2012.

%H B. Chaffin, J. P. Linderman, N. J. A. Sloane and Allan Wilks, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL16/Sloane/sloane3.html">On Curling Numbers of Integer Sequences</a>, Journal of Integer Sequences, Vol. 16 (2013), Article 13.4.3.

%H N. J. A. Sloane, <a href="/A218876/a218876.pdf">On Curling Numbers of Integer Sequences</a>, Combinatorics on Words Conference, Fields Institute, Toronto, April 22, 2013.

%H N. J. A. Sloane, <a href="/A218876/a218876.txt">First 36 rows of table</a>

%H <a href="/index/Cu#curling_numbers">Index entries for sequences related to curling numbers</a>

%F The triangle in A218869 is the sum of triangles A218875 and A218876.

%e Triangle begins:

%e [0],

%e [0, 0],

%e [0, 0, 0],

%e [0, 0, 0, 0],

%e [2, 0, 0, 0, 0],

%e [0, 0, 0, 0, 0, 0],

%e [4, 0, 0, 0, 0, 0, 0],

%e [2, 2, 0, 0, 0, 0, 0, 0],

%e [6, 0, 0, 0, 0, 0, 0, 0, 0],

%e [6, 0, 0, 0, 0, 0, 0, 0, 0, 0],

%e [12, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0],

%e [10, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],

%e ...

%Y Cf. A216955, A218869, A218875.

%K nonn,tabl

%O 1,11

%A _N. J. A. Sloane_, Nov 15 2012

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Last modified April 23 05:37 EDT 2024. Contains 371906 sequences. (Running on oeis4.)