%I A158404
%S A158404 842,1683,2524,3365,4206,5047,5888,6729,7570,8411,9252,10093,10934,
%T A158404 11775,12616,13457,14298,15139,15980,16821,17662,18503,19344,20185,
%U A158404 21026,21867,22708,23549,24390,25231,26072,26913,27754,28595,29436
%N A158404 a(n)=841*n+1 (n>0)
%C A158404 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.
%H A158404 Edward Everett Withford, <a href="http://quod.lib.umich.edu/cgi/t/text/
               text-idx?c=umhistmath;cc=umhistmath;idno=abv2773.0001.001;view=toc">
               Pell Equation</a>
%H A158404 Vincenzo Librandi, <a href="http://mathforum.org/kb/message.jspa?messageID=5785989&tstart=0">
               X^2-AY^2=1</a>
%H A158404 Edward Everett Withford, <a href="http://quod.lib.umich.edu/cgi/t/text/
               text-idx?c=umhistmath;cc=umhistmath;idno=abv2773.0001.001;view=toc">
               Pell Equation</a>
%F A158404 a(n)=841*n+1 (n>0)
%e A158404 For n=1, a(1)=842; n=2, a(2)=1683; n=3, a(3)=2524
%Y A158404 Cf. A010868, A158403
%Y A158404 Sequence in context: A133496 A121499 A049530 this_sequence A004929 A031736 
               A031617
%Y A158404 Adjacent sequences: A158401 A158402 A158403 this_sequence A158405 A158406 
               A158407
%K A158404 nonn
%O A158404 1,1
%A A158404 Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 18 2009