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A097102
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Numbers n that are the hypotenuse of exactly 13 distinct integer-sided right triangles, i.e., n^2 can be written as a sum of two squares in 13 ways.
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25
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1105, 1885, 2210, 2405, 2465, 2665, 3145, 3315, 3445, 3485, 3770, 3965, 4420, 4505, 4745, 4810, 4930, 5185, 5330, 5365, 5655, 5785, 5945, 6205, 6290, 6305, 6409, 6565, 6630, 6890, 6970, 7085, 7215, 7345, 7395, 7540, 7565, 7585, 7685, 7735, 7930, 7995
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OFFSET
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1,1
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COMMENTS
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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
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LINKS
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Chai Wah Wu, Table of n, a(n) for n = 1..10000
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MATHEMATICA
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r[a_]:={b, c}/.{ToRules[Reduce[0<b<c&&a^2 == b^2 + c^2, {b, c}, Integers]]}; Select[Range[5000], Length[r[#]] == 13 &] (* Vincenzo Librandi, Mar 01 2016 *)
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CROSSREFS
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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), 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: A025287 A025305 A052155 * A281877 A159781 A264498
Adjacent sequences: A097099 A097100 A097101 * A097103 A097104 A097105
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KEYWORD
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nonn
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AUTHOR
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James R. Buddenhagen, Sep 15 2004
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EXTENSIONS
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More terms from Ray Chandler, Sep 16 2004
Definition corrected by Zak Seidov, Feb 26 2008
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STATUS
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approved
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