cp's OEIS Frontend

A218870 Triangle read by rows: T(n,k) = number of aperiodic binary sequences of length n with curling number <= k (1 <= k <= n).

%I A218870 #20 Aug 02 2014 06:14:09
%S A218870 2,2,2,4,6,6,6,10,12,12,12,24,28,30,30,20,40,48,52,54,54,40,92,112,
%T A218870 120,124,126,126,74,174,210,226,234,238,240,240,148,362,438,474,490,
%U A218870 498,502,504,504,286,700,860,928,960,976,984,988,990,990,572,1448,1776,1916,1984,2016,2032,2040,2044,2046,2046
%N A218870 Triangle read by rows: T(n,k) = number of aperiodic binary sequences of length n with curling number <= k (1 <= k <= n).
%C A218870 S is aperiodic if it is not of the form S = T^m with m > 1.
%C A218870 Rows are partial sums of rows of A218869.
%C A218870 Final entries in rows form A027375. First column is A122536.
%H A218870 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 A218870 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 A218870 N. J. A. Sloane, <a href="/A218870/a218870.txt">Rows 1 through 36</a>
%H A218870 <a href="/index/Cu#curling_numbers">Index entries for sequences related to curling numbers</a>
%e A218870 Triangle begins:
%e A218870 [2]
%e A218870 [2, 2]
%e A218870 [4, 6, 6]
%e A218870 [6, 10, 12, 12]
%e A218870 [12, 24, 28, 30, 30]
%e A218870 [20, 40, 48, 52, 54, 54]
%e A218870 [40, 92, 112, 120, 124, 126, 126]
%e A218870 [74, 174, 210, 226, 234, 238, 240, 240]
%e A218870 [148, 362, 438, 474, 490, 498, 502, 504, 504]
%e A218870 [286, 700, 860, 928, 960, 976, 984, 988, 990, 990]
%e A218870 [572, 1448, 1776, 1916, 1984, 2016, 2032, 2040, 2044, 2046, 2046]
%e A218870 ...
%Y A218870 Cf. A216955, A122536, A027375, A218869.
%K A218870 nonn,tabl
%O A218870 1,1
%A A218870 _N. J. A. Sloane_, Nov 07 2012