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Search: id:A010856
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| 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17
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OFFSET
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0,1
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COMMENT
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Consider,from n^2-2=A008865,period 9:repeat 8,2,7,5,5,7,2,8,7=submitted A152179. a(n)=A152179(3n)+A152179(3n+1)+A152179(3n+2). [From Paul Curtz (bpcrtz(AT)free.fr), Nov 28 2008]
If A=[A158252] 289*n.^2-2*n (n>0, 287, 1152, 2595, ,.,); Y=[A010856] 17 (17, 17, 17 ,.,); X=[A158253] 289*n-1 (n>0, 288, 577, 866, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 288^2-287*17^2=1; 577^2-1152*17^2=1; 866^2-2595*17^2=1. [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 15 2009]
If A=[A158254] 289*n.^2+2*n (n>0, 291, 1160, 2607, ,.,); Y=[A010856] 17 (17, 17, 17 ,.,); X=[A158255] 289*n+1 (n>0, 290, 579, 868, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 290^2-291*17^2=1; 579^2-1160*17^2=1; 868^2-2607*17^2=1. [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 15 2009]
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LINKS
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Tanya Khovanova, Recursive Sequences
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CROSSREFS
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Cf. A158252, A158253 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 15 2009]
Cf. A158254, A158255 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 15 2009]
Sequence in context: A082123 A050256 A102423 this_sequence A060360 A081702 A040273
Adjacent sequences: A010853 A010854 A010855 this_sequence A010857 A010858 A010859
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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