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Frieze pattern of order 6, with 5 rows, read by diagonals.
2

%I #13 Feb 19 2021 00:03:52

%S 1,1,1,1,1,1,2,3,4,1,1,2,3,1,1,1,2,1,2,1,1,1,3,2,1,1,4,3,2,1,1,1,1,1,

%T 1,1,2,3,4,1,1,2,3,1,1,1,2,1,2,1,1,1,3,2,1,1,4,3,2,1,1,1,1,1,1,1,2,3,

%U 4,1,1,2,3,1,1,1,2,1,2,1,1,1,3,2,1,1,4,3,2,1,1,1,1,1,1,1,2,3,4

%N Frieze pattern of order 6, with 5 rows, read by diagonals.

%C Period 30: repeat [1, 1, 1, 1, 1, 1, 2, 3, 4, 1, 1, 2, 3, 1, 1, 1, 2, 1, 2, 1, 1, 1, 3, 2, 1, 1, 4, 3, 2, 1]. - _Wesley Ivan Hurt_, Jun 05 2016

%H K. Bauer and R. J. Marsh, <a href="http://arxiv.org/abs/0711.1443">Ptolemy relations for punctured discs</a>, arXiv:0711.1443 [math.CO], 2007.

%H <a href="/index/Rec#order_30">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1).

%e The frieze pattern is:

%e ... 1 1 1 1 1 1 1 ...

%e .... 1 2 2 2 1 4 ...

%e ... 3 1 3 3 1 3 8 ...

%e .... 2 1 4 1 2 2 ...

%e ... 1 1 1 1 1 1 1 ...

%Y Cf. A139434, A139438.

%K nonn,tabf

%O 0,7

%A _N. J. A. Sloane_, Jun 09 2008