A097219 Numbers n that are the hypotenuse of exactly 6 distinct integer-sided right triangles, i.e., n^2 can be written as a sum of two squares in 6 ways.

15625, 31250, 46875, 62500, 93750, 109375, 125000, 140625, 171875, 187500, 218750, 250000, 281250, 296875, 328125, 343750, 359375, 375000, 421875, 437500, 484375, 500000, 515625, 562500, 593750, 656250, 671875, 687500, 718750, 734375

Offset

1,1

Comments

If m is a term, then 2*m and p*m are terms where p is any prime of the form 4k+3. - Ray Chandler, Dec 30 2019

Links

Ray Chandler, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A004144 (0), A084645 (1), A084646 (2), A084647 (3), A084648 (4), A084649 (5), A097101 (7), A290499 (8), A290500 (9), A097225 (10), A290501 (11), A097226 (12), A097102 (13), A290502 (14), A290503 (15), A097238 (16), A097239 (17), A290504 (18), A290505 (19), A097103 (22), A097244 (31), A097245 (37), A097282 (40), A097626 (67).

Sequence in context: A254029 A129152 A223185 * A016818 A016854 A016974

Adjacent sequences: A097216 A097217 A097218 * A097220 A097221 A097222

Keyword

nonn

Author

James R. Buddenhagen, Sep 17 2004

Extensions

More terms from Ray Chandler, Sep 18 2004

Status

approved