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A211133 Odd sides belonging to multiple primitive Euler bricks. 0
1155, 4599, 5643, 8415, 9405, 10395, 10725, 66495, 200385, 1100385, 1769229, 2518725, 2673585, 2807805, 4150575, 4362115, 8191161, 8954495, 11534489, 12645009, 13435565, 19875933, 25560909, 31122325, 45285075, 45930885, 55257111, 62379225, 75081435, 93205889 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Primitive Euler bricks are defined by (a, b, c) where a^2+b^2=u^2, b^2+c^2=v^2, a^2+c^2=w^2, gcd(a, b, c) = 1, and all values are integers, thus defining a cuboid with integer edges and face diagonals.

At most one of a, b, and c must be odd. This list shows those odd values which belong to more than one valid (a, b, c) set.

LINKS

Table of n, a(n) for n=1..30.

Eric Weisstein, MathWorld: Euler Brick

CROSSREFS

Sequence in context: A046390 A234498 A147577 * A088012 A046406 A136355

Adjacent sequences:  A211130 A211131 A211132 * A211134 A211135 A211136

KEYWORD

nonn

AUTHOR

Alan Griffiths, May 11 2012

STATUS

approved

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Last modified November 28 04:44 EST 2014. Contains 250286 sequences.