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A139438 Frieze pattern with 5 rows, read by diagonals. +0
3
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 (list; graph; listen)
OFFSET

0,3

REFERENCES

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

FORMULA

Four adjacent entries

...A...

.B...C.

...D...

satisfy D = (BC-1)/A.

EXAMPLE

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 ...

CROSSREFS

Cf. A139434, A139458.

Adjacent sequences: A139435 A139436 A139437 this_sequence A139439 A139440 A139441

Sequence in context: A133569 A141071 A004648 this_sequence A135392 A071947 A139343

KEYWORD

nonn,tabf

AUTHOR

njas, Jun 09 2008

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


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