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 A290503 Hypotenuses for which there exist exactly 15 distinct integer triangles. 24
 30517578125, 61035156250, 91552734375, 122070312500, 183105468750, 213623046875, 244140625000, 274658203125, 335693359375, 366210937500, 427246093750, 488281250000, 549316406250, 579833984375, 640869140625, 671386718750, 701904296875, 732421875000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Numbers whose square is decomposable in 15 different ways into the sum of two nonzero squares: these are those with only one prime divisor of the form 4k+1 with multiplicity fifteen. 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)^15 for k, p > 0 ordered by increasing values. EXAMPLE a(1) = 30517578125 = 5^15, a(5) = 183105468750 = 2*3*5^15, a(101) = 5859375000000 = 2^6*3*5^15. MATHEMATICA r[a_]:={b, c}/.{ToRules[Reduce[0

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Last modified May 19 18:35 EDT 2022. Contains 353847 sequences. (Running on oeis4.)