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A197040 Occurrences of edge-lengths 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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Distribution of edge-length occurrences for Euler bricks is remarkably near-uniform.

REFERENCES

L. E. Dickson, History of the Theory of Numbers, vol. 2, Diophantine Analysis, Dover, New York, 2005.

P. Halcke, Deliciae Mathematicae; oder, Mathematisches sinnen-confect., 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 edge-lengths 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

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Last modified December 10 12:43 EST 2019. Contains 329896 sequences. (Running on oeis4.)