A253803 - OEIS

A253803

a(n) gives one fourth of the even leg of one of the two Pythagorean triangles with hypotenuse A080109(n) = A002144(n)^2. The odd leg is given in A253802(n).

6, 39, 60, 210, 210, 410, 630, 915, 1320, 1780, 2340, 990, 2730, 3164, 4620, 5215, 5610, 4290, 8145, 8106, 2730, 6630, 12116, 12540, 4080, 17485, 17451, 18480, 9690, 24414

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OFFSET

1,1

COMMENTS

See A253802 for comments and the Dickson reference.

REFERENCES

L. E. Dickson, History of the Theory of Numbers, Carnegie Institution, Publ. No. 256, Vol. II, Washington D.C., 1920, p. 227.

LINKS

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

FORMULA

a(n) = sqrt(A080109(n)^2 - A253802(n)^2)/4, n >= 1.

EXAMPLE