A070786 Area of triangles with sides whose squares are integers and with positive integer area, ordered by longest side, then second longest side and finally shortest side.

1, 1, 2, 2, 1, 3, 1, 2, 3, 4, 3, 2, 1, 3, 3, 6, 2, 4, 2, 4, 6, 1, 3, 5, 2, 4, 3, 6, 2, 3, 1, 5, 1, 4, 4, 2, 6, 7, 3, 6, 8, 6, 3, 1, 3, 5, 6, 4, 8, 2, 5, 10, 1, 4, 2, 6, 3, 7, 9, 5, 9, 7, 3, 2, 4, 1, 8, 9, 5, 7, 10, 3, 6, 9, 12, 4, 2, 8, 6, 4, 2, 10, 8, 12, 6, 2, 6, 3, 1, 7, 5, 10, 11, 4, 8, 7, 14, 3, 6, 3

Offset

1,3

Links

Table of n, a(n) for n=1..100.

A. Bogomolny, Sam Loyd's Geometric Puzzle

Example

a(6)=3 since the triangle with sides sqrt(9), sqrt(8) and sqrt(5) has area 3.

Crossrefs

Cf. A055595, A070783, A070784, A070785, A070787.

Sequence in context: A327571 A166363 A117470 * A255542 A117500 A297626

Adjacent sequences: A070783 A070784 A070785 * A070787 A070788 A070789

Keyword

nonn

Author

Henry Bottomley, May 07 2002

Status

approved