0,1

If A=[A158401] 841*n.^2-2*n (n>0, 839, 3360, 7563,.,); Y=[A010868] 29 (29, 29, 29, ,.,); X=[A158402] 841*n-1 (n>0, 840, 1681, 2522, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 840^2-839*29^2=1; 1681^2-3360*29^2=1; 2522^2-7563*29^2=1. [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 18 2009]

If A=[A158403] 841*n.^2+2*n (n>0, 843, 3368, 7575,.,); Y=[A010868] 29 (29, 29, 29, ,.,); X=[A158404] 841*n+1 (n>0, 842, 1683, 2524, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 842^2-843*29^2=1; 1683^2-3368*29^2=1; 2524^2-7575*29^2=1. [From vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 18 2009]

Tanya Khovanova, Recursive Sequences

Cf. A158401, A158402 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 18 2009]

Cf. A158403, A158404 [From vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 18 2009]

Sequence in context: A022985 A023471 A070658 this_sequence A070851 A040813 A022363

Adjacent sequences: A010865 A010866 A010867 this_sequence A010869 A010870 A010871

nonn

N. J. A. Sloane (njas(AT)research.att.com).