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A072065 Define a "piece" to consist of 3 mutually touching pennies welded together to form a triangle; sequence gives side lengths of triangles that can be made from such pieces. +0
2
0, 2, 9, 11, 12, 14, 21, 23, 24, 26, 33, 35, 36, 38, 45, 47, 48, 50, 57, 59, 60, 62, 69, 71, 72, 74, 81, 83, 84, 86, 93, 95, 96, 98, 105, 107, 108, 110, 117, 119, 120, 122, 129, 131, 132, 134, 141, 143, 144, 146, 153, 155, 156, 158, 165, 167, 168, 170, 177, 179, 180 (list; graph; listen)
OFFSET

0,2

LINKS

F. Ardila and R. P. Stanley, Tilings

Jim McCann, Triangle Sequence

N. C. Saldanha and C. Tomei, [math/9801111] An overview of domino and lozenge tilings

Torsten Sillke, A Word Problem

FORMULA

n is in the sequence iff n == 0, 2, 9, or 11 (mod 12). See Sillke link. - Sascha Kurz (sascha.kurz(AT)uni-bayreuth.de), Mar 04 2003

EXAMPLE

A possible side-9 arrangement:

....... A

...... A A

..... B B C

.... D B C C

... D D E E F

.. G H H E F F

. G G H I I J J

.K L L M I N J O

K K L M M N N O O

CROSSREFS

Sequence in context: A073082 A006172 A085069 this_sequence A137000 A073634 A065554

Adjacent sequences: A072062 A072063 A072064 this_sequence A072066 A072067 A072068

KEYWORD

nonn,nice

AUTHOR

Jim McCann (jmccann(AT)umich.edu), Aug 04 2002

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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