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A069813 Maximal number of triangles in polyiamond with perimeter n. +0
1
1, 2, 3, 6, 7, 10, 13, 16, 19, 24, 27, 32, 37, 42, 47, 54, 59, 66, 73, 80, 87, 96, 103, 112, 121, 130, 139, 150, 159, 170, 181, 192, 203, 216, 227, 240, 253, 266, 279, 294, 307, 322, 337, 352, 367, 384, 399, 416 (list; graph; listen)
OFFSET

3,2

REFERENCES

W. C. Yang, R. R. Meyer, Maximal and minimal polyiamonds, manuscript, 2002.

FORMULA

a(n) = round(n^2/6) - (0 if n = 0 mod 6, 1 else)

EXAMPLE

a(10) = 16 because the max number of triangles in a polyiamond of perimeter 10 is 16.

CROSSREFS

Cf. A000577, A000105, A057729, A027709, A067628.

Sequence in context: A030703 A161336 A062720 this_sequence A059096 A002038 A032501

Adjacent sequences: A069810 A069811 A069812 this_sequence A069814 A069815 A069816

KEYWORD

nonn

AUTHOR

Winston C. Yang (winston(AT)cs.wisc.edu), Apr 30 2002

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Last modified December 6 22:55 EST 2009. Contains 170429 sequences.


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