[seqfan] Re: Numbers that are the sum of two taxicab numbers in more than one way
franktaw at netscape.net
franktaw at netscape.net
Mon Dec 16 16:43:54 CET 2013
All right, what if we iterate this? Level 1 is the cubes, the smallest
being 1 (or 0, if we allow that).
Level 1 is the taxicab numbers, the smallest being 1729.
Then we have Andrew's sequence, sums of two taxicab numbers in more
than one way.
Next stop is sums of these numbers in more than one way.
...
Now look for the smallest number at each level:
1, 1729, 485784, ... ?
Franklin T. Adams-Watters
-----Original Message-----
From: Andrew Weimholt <andrew.weimholt at gmail.com>
The smallest number that is the sum of two taxicab numbers (A001235)
in more than one way is 485784.
439101 + 46683 = 485784
314496 + 171288 = 485784
other examples:
513000 + 4104 = 517104
515375 + 1729 = 517104
443889 + 195841 = 639730
593047 + 46683 = 639730
984067 + 46683 = 1030750
515375 + 515375 = 1030750
984067 + 110656 = 1094723
1080891 + 13832 = 1094723
Sequence starts...
485784, 517104, 639730, 1030750, 1094723, 1127152,
1210813, 1371097, 1395296, 1454355, 1547189, 1574937,
1774297, 1844920, 2102464, 2315131, 2341332, 2411955,
2517424, 2614248, 2738736, 2815155, 2848031, 2989441,
3098368, 3098520, 3508920, 3525704, 3552841, 3886272,
4124729, 4136832, 4144159, 4662441, 4721976, 4782680,
4882176, 4970413, 4980528, 4993352, 5024808, 5046165, ...
Andrew
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