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A139438 Frieze pattern with 5 rows, read by diagonals. 2

%I

%S 1,1,2,3,1,1,3,5,2,1,1,2,1,1,1,1,1,2,3,1,1,3,5,2,1,1,2,1,1,1,1,1,2,3,

%T 1,1,3,5,2,1,1,2,1,1,1,1,1,2,3,1,1,3,5,2,1,1,2,1,1,1,1,1,2,3,1,1,3,5,

%U 2,1,1,2,1,1,1,1,1,2,3,1,1,3,5,2,1,1,2,1,1,1,1,1,2,3,1,1,3,5,2

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

%C Period 15: repeat [1, 1, 2, 3, 1, 1, 3, 5, 2, 1, 1, 2, 1, 1, 1]. - _Wesley Ivan Hurt_, Jun 05 2016

%H James Propp, <a href="http://arxiv.org/abs/math/0511633">The combinatorics of frieze patterns and Markoff numbers</a>, arXiv:math/0511633v4.

%F Four adjacent entries

%F ...A...

%F .B...C.

%F ...D...

%F satisfy D = (BC-1)/A.

%e The frieze pattern is

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

%e .....1 3 2 1 3 2 ...

%e ....1 2 5 1 2 5 1 ...

%e .....1 3 2 1 3 2 ...

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

%Y Cf. A139434, A139458.

%K nonn,tabf

%O 0,3

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

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Last modified January 27 02:46 EST 2020. Contains 331291 sequences. (Running on oeis4.)