login
Number of binary sequences of length 2n-1 and curling number 1.
1

%I #20 Aug 02 2014 06:14:08

%S 2,4,12,40,148,572,2248,8920,35536,141860,566880,2266400,9063372,

%T 36249044,144987304,579931488,2319690516,9278691224,37114623248,

%U 148458209744,593832272556,2375327957436,9501309564288,38005233726372,152020925844036

%N Number of binary sequences of length 2n-1 and curling number 1.

%C Equivalently, number of binary sequences of length 2n-1 with no initial repeats (see A122536).

%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

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

%F a(n) = 2*A093371(2n-1).

%F a(n) = 2*A211966(n-1), n >= 2.

%Y Bisection of A122536.

%Y Cf. A093371, A211966, A216955, A216958.

%K nonn

%O 1,1

%A _Omar E. Pol_, Nov 28 2012