[seqfan] (y - x)'s or Pell equation's triangle

юрий герасимов 2stepan at rambler.ru
Thu Nov 29 11:34:24 CET 2012


Dear SeFans,
Is a common concern (for OEIS) (x - y)'s or Pell equation's triangle? 
This triangle begins: 
0; 
1, 0; 
1, 1, 0; 
0, 0, 0, 0; 
1, 0, 1, 5, 0; 
1, 5, 0, 3, 29, 0; 
1, 3, 89, 0, 11, 169, 0; 
1, 5, 29, 1597, 0, 153, 5741, 0; 
0, 0, 0, 0, 0, 0, 0, 0, 0; 
1, 0, 2, 79, 277, 28657, 0, 571, 33341, 0; 
1, 13, 0, 11, 1259, 2841, 514229, 0, 2191, 195025, 0; 
1, 7, 493, 0, 64, 20065, 28123, 9227475, 0, 7953, 1136689, 0;
1, 5, 139, 18721, 0, 373, 319781, 278389, 165580141, 0, 29681, 6625109, 0; 
1, 11, 69, 2773, 711105, 0,...
formed by
0; 
A001541(0) - A001542(0), 0;
A001075(0) - A001353(0), A001541(1) - A001353(1), 0; 
0, 0, 0, 0; 
A023039(0) - A060645(0), 0, A001075(1) - A001353(1), A001541(2) - A001542(2), 0; 
A001079(0) - A001078(0), A023039(1) - A060645(1), 0, A001075(2) - A001353(2), A001541(3) - A001542(3), 0; 
A001081(0) - A001082(0), A001079(1) - A001078(1), A023039(2) - A060645(2), 0, A001075(3) - A001353(3), A001541(4) - A001542(4), 0; 
A001541(0) - A001109(0), A001081(1) - A001082(1), A001079(2) - A001078(2), A023039(3) - A060645(3), 0, A001075(4) - A001353(4), A001541(5) - A001542(5), 0; 
0, 0, 0, 0, 0, 0, 0, 0, 0; 
A078986(0) - A084070(0), A001541(2) - A001109(1), A001081(2) - A001082(2), A001079(3) - A001078(3), A023039(4) - A060645(4), 0, A001075(5) - A001353(5), A001541(6) - A001542(6), 0...
Regards, 
Juri-Stepan Gerasimov.
   



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