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 A290501 Hypotenuses for which there exist exactly 11 distinct integer triangles. 24
 48828125, 97656250, 146484375, 195312500, 292968750, 341796875, 390625000, 439453125, 537109375, 585937500, 683593750, 781250000, 878906250, 927734375, 1025390625, 1074218750, 1123046875, 1171875000, 1318359375, 1367187500, 1513671875, 1562500000, 1611328125 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Numbers whose square is decomposable in 11 different ways into the sum of two nonzero squares: these are those with only one prime divisor of the form 4k+1 with multiplicity eleven. 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)^11 for k, p > 0 ordered by increasing values. EXAMPLE a(1) = 48828125 = 5^11, a(5) = 292968750 = 2*3*5^11, a(101) = 9375000000 = 2^6*3*5^11. MATHEMATICA r[a_]:={b, c}/.{ToRules[Reduce[0

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Last modified December 8 00:04 EST 2021. Contains 349590 sequences. (Running on oeis4.)