[seqfan] Re: Two make a square [ Was: Two make a palindrome ]

Andrew Weimholt andrew.weimholt at gmail.com
Tue Nov 12 12:57:55 CET 2013


I thought I'd try the same thing with squares...

Here's what I computed by hand (which means it may contain errors)...

0, 10, 24, 3, 6, 1, 8, 14, 4, 9, 16, 12, 15, 21, 25, 2, 5, 26, 11, 52, 20,
41,
38, 44, 68, 49, 18, 28, 81, 34, 29, 7, 48, 19, 27, 13, 36, 31,

If we start with 1 instead of 0...

1, 6, 3, 16, 9, 4, 14, 8, 29, 5, 2, 11, 26, 10,

...next term depends on whether we allow 0, or restrict terms to positive
integers (in which case it's 24).

I'm guessing it will be a little harder to prove whether or not these
contain every positive integer.

Andrew



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