

A197040


Occurrences of edgelengths of Euler bricks in every 100 consecutive integers.


1



3, 8, 9, 8, 9, 9, 6, 9, 10, 8, 7, 9, 6, 8, 7, 8, 11, 6, 7, 8, 9, 8, 7, 6, 8, 10, 6, 6, 6, 8, 8, 8, 8, 9, 6, 9, 7, 6, 7, 8, 8, 9, 7, 11, 7, 8, 5, 9, 8, 9, 9, 7, 6, 7, 9, 6, 7, 9, 7, 8, 10, 5, 9, 7, 7, 7, 7, 6, 9, 9, 6, 8, 7, 9, 8, 6, 9, 5, 9, 9, 8, 6, 6, 7, 7
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OFFSET

1,1


COMMENTS

Distribution of edgelength occurrences for Euler bricks is remarkably nearuniform.


REFERENCES

L. E. Dickson, History of the Theory of Numbers, vol. 2, Diophantine Analysis, Dover, New York, 2005.
P. Halcke, Deliciae Mathematicae; oder, Mathematisches sinnenconfect., N. Sauer, Hamburg, Germany, 1719, page 265.


LINKS

Table of n, a(n) for n=1..85.
E. W. Weisstein, MathWorld: Euler brick


EXAMPLE

For n=1 (i.e., the integers 1..100), there are only 3 possible edgelengths for Euler bricks: 44, 85, 88.


CROSSREFS

cf. A195816, A196943, A031173, A031174, A031175. Edge lengths of Euler bricks are A195816; face diagonals are A196943.
Sequence in context: A179047 A185067 A256955 * A217870 A154927 A220789
Adjacent sequences: A197037 A197038 A197039 * A197041 A197042 A197043


KEYWORD

nonn,base


AUTHOR

Christopher Monckton of Brenchley, Oct 08 2011


STATUS

approved



