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A088319 Ordered hypotenuses of primitive Pythagorean triangles having legs that add up to a square. 16
41, 205, 389, 689, 1565, 1625, 1781, 3865, 4105, 4549, 5989, 7421, 9161, 9685, 10225, 10685, 13025, 17509, 17965, 18329, 21349, 21701, 25801, 33161, 33169, 33529, 36749, 38581, 39709, 49325, 51649, 52429, 52721, 56785, 57065, 67205, 70801 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

REFERENCES

F. Rubin, "Squared" Pythagorean Triples, Solution to problem 2306, J. Recreational Mathematics, Vol. 29, No. 1, 1998, p. 73.

LINKS

Table of n, a(n) for n=1..37.

FORMULA

a(n)=e^2+f^2, where e>f, e=j^2 - jk + k^2/2 and f=jk for coprime pairs (j, k) with k even.

EXAMPLE

9161 is in the sequence because of the triple 5289^2 + 7480^2 = 9161^2 where we have 5289+7480=113^2.

Similarly, 205 belongs to the triple (133,156,205) and 133+156=17^2.

CROSSREFS

Cf. A088515, A088516, A089545-A089558.

Sequence in context: A297227 A089634 A142526 * A297598 A204620 A172085

Adjacent sequences:  A088316 A088317 A088318 * A088320 A088321 A088322

KEYWORD

nonn

AUTHOR

Lekraj Beedassy, Nov 06 2003

STATUS

approved

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Last modified October 15 05:43 EDT 2019. Contains 328026 sequences. (Running on oeis4.)