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Search: id:A125169
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| 15, 31, 47, 63, 79, 95, 111, 127, 143, 159, 175, 191, 207, 223, 239, 255, 271, 287, 303, 319, 335, 351, 367, 383, 399, 415, 431, 447, 463, 479, 495, 511, 527, 543, 559, 575, 591, 607, 623, 639, 655, 671, 687, 703, 719, 735, 751, 767, 783, 799
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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If A=[A158058] 16*n.^2-2*n (n>0, 14, 60, 138,., ,.,); Y=[A010709] 4 (4,4,4, ,..,); X=[A125169] 16*n+115 (15, 31, 47, ,. .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 15^2-14*4^2=1; 31^2-60*4^2=1; 47^2-138*4^2=1. [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 12 2009]
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LINKS
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Tanya Khovanova, Recursive Sequences
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MAPLE
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with(finance):seq(add(cashflows([3, 3, 10], 0 ), k=1..n)-1, n=1..58); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 30 2008
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MATHEMATICA
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Table[16n + 15, {n, 0, 100}]
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CROSSREFS
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Cf. A004771.
Cf. A010709, A158058 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 12 2009]
Sequence in context: A031467 A045063 A044076 this_sequence A044457 A132757 A045135
Adjacent sequences: A125166 A125167 A125168 this_sequence A125170 A125171 A125172
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KEYWORD
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nonn
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AUTHOR
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Artur Jasinski (grafix(AT)csl.pl), Nov 22 2006
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