A094143 -id:A094143

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A094140

Smallest inradius of primitive Pythagorean triangle whose legs differ by A058529(n).

+10
2

1, 2, 3, 5, 4, 14, 7, 5, 6, 18, 9, 21, 7, 33, 22, 11, 8, 45, 39, 9, 13, 30, 60, 10, 30, 15, 33, 84, 11, 68, 60, 51, 34, 12, 91, 95, 65, 39, 13, 57, 38, 19, 70, 42, 14, 105, 84, 144, 42, 21, 15, 138, 112, 115, 80, 92, 48, 16, 46, 23, 119, 85, 51, 17, 100, 126, 209, 75, 50, 25

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OFFSET

1,2

COMMENTS

This is the product x*y of the smallest positive solution (x,y) to x^2 - 2*y^2 = -+d, where d=A058529(n).

REFERENCES

Mohammad K. Azarian, Circumradius and Inradius, Problem S125, Math Horizons, Vol. 15, Issue 4, April 2008, p. 32. Solution published in Vol. 16, Issue 2, November 2008, p. 32.

LINKS

Table of n, a(n) for n=1..70.

CROSSREFS

Cf. A058529, A094136, A094137, A094138, A094142, A094143.

KEYWORD

nonn

AUTHOR

Lekraj Beedassy, May 04 2004

EXTENSIONS

Corrected and extended by Ray Chandler, Jun 20 2004

STATUS

approved

A094142

Smallest semiperimeter of primitive Pythagorean triangle whose legs differ by A058529(n).