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Search: id:A010727
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| 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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a(n)=(submitted A153466=232,610,1600,4192,10978,) mod 9. From A014217=1,1,2,4,6,11 and submitted A153382. [From Paul Curtz (bpcrtz(AT)free.fr), Dec 27 2008]
Except for the first term of [A001080] and of [A001081], if X=[A001081] (1,8,127,2024,32257,..,); Y=[A001080] (0,3,48,765,1192,..,) and A=[A010727] (7,7,7,..,) we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 8^2-7*3^2=1; 127^2-7*48^2=1; 2024^2-7*765^2=1; 32257^2-7*12192^2=1; [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Feb 16 2009]
If A=[A157365] 49*n.^2+2*n (n>0, 51, 200, 447,.,. ,.,); Y=[A010727] 7 (7,7,7,.,.,); X=[A158066] 49*n+1 (n>0, 50, 99, 148, ,. .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 50^2-51*7^2=1; 99^2-200*7^2=1; 148^2-447*7^2=1. [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 12 2009]
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LINKS
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Index entries for sequences related to linear recurrences with constant coefficients
Tanya Khovanova, Recursive Sequences
INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 1015
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CROSSREFS
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Cf. A001080, A001081 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Feb 16 2009]
Cf. A158066, A157365 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 12 2009]
Adjacent sequences: A010724 A010725 A010726 this_sequence A010728 A010729 A010730
Sequence in context: A112114 A031182 A106705 this_sequence A108689 A024583 A158812
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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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