A139438 Frieze pattern with 5 rows, read by diagonals.

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, 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, 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

Offset: 0

Author

N. J. A. Sloane, Jun 09 2008

Keywords

• nonn
• tabf

Comments

Period 15: repeat [1, 1, 2, 3, 1, 1, 3, 5, 2, 1, 1, 2, 1, 1, 1]. - Wesley Ivan Hurt, Jun 05 2016

Examples

			The frieze pattern is
... 1 1 1 1 1 1 1 ...
.....1 3 2 1 3 2 ...
....1 2 5 1 2 5 1 ...
.....1 3 2 1 3 2 ...
... 1 1 1 1 1 1 1 ...
		

Links

• James Propp, The combinatorics of frieze patterns and Markoff numbers, arXiv:math/0511633v4.

Crossrefs

Cf. A139434, A139458.

Formula

Four adjacent entries

...A...

.B...C.

...D...

satisfy D = (BC-1)/A.