A097103 Numbers m that are the hypotenuse of exactly 22 distinct integer-sided right triangles, i.e., m^2 can be written as a sum of two squares in 22 ways.

5525, 9425, 11050, 12025, 12325, 13325, 14365, 15725, 16575, 17225, 17425, 18785, 18850, 19825, 22100, 22525, 23725, 24050, 24505, 24650, 25925, 26650, 26825, 28275, 28730, 28925, 29725, 31025, 31265, 31450, 31525, 32825, 33150, 34450

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

Chai Wah Wu, Table of n, a(n) for n = 1..10000

Mathematica

r[a_]:={b, c}/.{ToRules[Reduce[0<b<c && a^2 == b^2 + c^2, {b, c}, Integers]]}; Select[Range[10000], Length[r[#]] == 22 &] (* Vincenzo Librandi, Mar 01 2016 *)

Crossrefs

Cf. A004144 (0), A084645 (1), A084646 (2), A084647 (3), A084648 (4), A084649 (5), A097219 (6), 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), A097244 (31), A097245 (37), A097282 (40), A097626 (67).

Sequence in context: A165443 A025296 A025315 * A025297 A025316 A025289

Adjacent sequences: A097100 A097101 A097102 * A097104 A097105 A097106

Keyword

nonn

Author

James R. Buddenhagen, Sep 15 2004

Extensions

More terms from Ray Chandler, Sep 16 2004

Definition corrected by Zak Seidov, Feb 26 2008

Status

approved