cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A097103 #27 Dec 30 2019 10:14:47
%S A097103 5525,9425,11050,12025,12325,13325,14365,15725,16575,17225,17425,
%T A097103 18785,18850,19825,22100,22525,23725,24050,24505,24650,25925,26650,
%U A097103 26825,28275,28730,28925,29725,31025,31265,31450,31525,32825,33150,34450
%N A097103 Numbers n that are the hypotenuse of exactly 22 distinct integer-sided right triangles, i.e., n^2 can be written as a sum of two squares in 22 ways.
%C A097103 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
%H A097103 Chai Wah Wu, <a href="/A097103/b097103.txt">Table of n, a(n) for n = 1..10000</a>
%t A097103 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 *)
%Y A097103 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).
%K A097103 nonn
%O A097103 1,1
%A A097103 _James R. Buddenhagen_, Sep 15 2004
%E A097103 More terms from _Ray Chandler_, Sep 16 2004
%E A097103 Definition corrected by _Zak Seidov_, Feb 26 2008