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Numbers that are the sum of two cubes in exactly three ways.

5

`%I #10 Jul 31 2021 23:46:49
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`%S 87539319,119824488,143604279,175959000,327763000,700314552,804360375,
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`%T 958595904,1148834232,1407672000,1840667192,1915865217,2363561613,
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`%U 2622104000,3080802816,3235261176,3499524728,3623721192,3877315533,4750893000,5544709352,5602516416
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`%N Numbers that are the sum of two cubes in exactly three ways.
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`%H Sean A. Irvine, <a href="/A344804/b344804.txt">Table of n, a(n) for n = 1..1584</a>
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`%e 87539319 is a term because 87539319 = 167^3 + 436^3 = 22^3 + 423^3 = 255^3 + 414^3 (3 representations).
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`%e 6963472309248 is not a term because 6963472309248 = 2421^3 + 19083^3 = 5436^3 + 18948^3 = 10200^3 + 18072^3 = 13322^3 + 16630^3 (4 representations). This is the first difference between this sequence and A018787.
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`%Y Cf. A018787, A025286, A025397, A343708, A345865.
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`%K nonn
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`%O 1,1
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`%A _Sean A. Irvine_, Jun 14 2021
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