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 A290502 Hypotenuses for which there exist exactly 14 distinct integer triangles. 24
 6103515625, 12207031250, 18310546875, 24414062500, 36621093750, 42724609375, 48828125000, 54931640625, 67138671875, 73242187500, 85449218750, 97656250000, 109863281250, 115966796875, 128173828125, 134277343750, 140380859375, 146484375000, 164794921875 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Numbers whose square is decomposable in 14 different ways into the sum of two nonzero squares: these are those with only one prime divisor of the form 4k+1 with multiplicity fourteen. LINKS Ray Chandler, Table of n, a(n) for n = 1..10000 (first 1000 terms from Hamdi Sahloul) FORMULA Terms are obtained by the product A004144(k)*A002144(p)^14 for k, p > 0 ordered by increasing values. EXAMPLE a(1) = 6103515625 = 5^14, a(5) = 36621093750 = 2*3*5^14, a(101) = 1171875000000 = 2^6*3*5^14. MATHEMATICA r[a_]:={b, c}/.{ToRules[Reduce[0

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Last modified November 30 03:08 EST 2023. Contains 367452 sequences. (Running on oeis4.)