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Search: id:A010857
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| 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18
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OFFSET
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0,1
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COMMENT
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If A=[A158305] 324*n.^2-2*n (n>0, 322, 1292, 2910,.,); Y=[A010857] 18 (18, 18, 18, ,.,); X=[A158306] 324*n-1 (n>0, 323, 647, 971, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 323^2-322*18^2=1; 647^2-1292*18^2=1; 971^2-2910*18^2=1. [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 16 2009]
If A=[A158271] 324*n.^2+2*n (n>0, 326, 1300, 2922,.,); Y=[A010857] 18 (18, 18, 18, ,.,); X=[A158272] 324*n+1 (n>0, 325, 649, 973, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 325^2-326*18^2=1; 649^2-1300*18^2=1; 973^2-2922*18^2=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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FORMULA
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a(n) = 18.
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CROSSREFS
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Cf. A158305, A158306 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 16 2009]
Cf. A158271, A158272 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 15 2009]
Sequence in context: A023460 A029926 A070742 this_sequence A158910 A040307 A022352
Adjacent sequences: A010854 A010855 A010856 this_sequence A010858 A010859 A010860
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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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