cp's OEIS Frontend

A094266 LQTL Lean Quaternary Temporal Logic: a terse form of temporal logic created by assigning four descriptors such that false, becoming true, true and becoming false are represented and become a linear sequence. In a branching tree two alternative are open, change or no change. The integer sequence above is the count of the row possibilities of the four states over successive iterations.

%I A094266 #25 Jan 07 2023 09:44:35
%S A094266 1,1,0,0,1,2,1,0,1,3,3,1,2,4,6,4,6,6,10,10,16,12,16,20,36,28,28,36,72,
%T A094266 64,56,64,136,136,120,120,256,272,256,240,496,528,528,496,992,1024,
%U A094266 1056,1024,2016,2016,2080,2080,4096,4032,4096,4160,8256,8128,8128,8256,16512
%N A094266 LQTL Lean Quaternary Temporal Logic: a terse form of temporal logic created by assigning four descriptors such that false, becoming true, true and becoming false are represented and become a linear sequence. In a branching tree two alternative are open, change or no change. The integer sequence above is the count of the row possibilities of the four states over successive iterations.
%C A094266 This is a table read by rows of length 4. Every row is formed from the previous one by the circular Pascal triangle-like rule: a, b, c, d -> d+a, a+b, b+c, c+d. Consider a labeled binary tree such that the root has label 0 and every node labeled k has children labeled k and (k+1) mod 4; the n-th row of this sequence counts nodes on the level n+1 with labels 0, 1, 2, 3, while the n-th row of A099423 counts nodes up to level n. - _Andrey Zabolotskiy_, Jan 06 2023
%H A094266 Robert H. Barbour, <a href="https://www.wolframscience.com/conference/2006/presentations/barbour.html">2D Four-Color Cellular Automaton</a>, NKS 2006 Wolfram Science Conference.
%H A094266 Robert H. Barbour, <a href="https://www.complex-systems.com/abstracts/v17_i02_a01/">Two-dimensional Four Color Cellular Automaton: Surface Explorations</a>, Complex Systems, 17 (2007), 103-112.
%F A094266 Appears to satisfy a 12-degree linear recurrence. - _Ralf Stephan_, Dec 04 2004
%p A094266 Algorithm available from Robert H Barbour
%Y A094266 Cf. A000749, A005418, A038503, A038504, A038505, A020522, A063376.
%K A094266 easy,nonn
%O A094266 0,6
%A A094266 _Robert H Barbour_ and L. D. Painter, Jun 01 2004