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Search: id:A158060
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| 26, 51, 76, 101, 126, 151, 176, 201, 226, 251, 276, 301, 326, 351, 376, 401, 426, 451, 476, 501, 526, 551, 576, 601, 626, 651, 676, 701, 726, 751, 776, 801, 826, 851, 876, 901, 926, 951, 976, 1001, 1026, 1051, 1076, 1101, 1126
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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If A=[A154377] 25*n.^2+2*n (n>0, 27, 104, 231,., ,.,); Y=[A010716] 5 (5,5,5, ,..,); X=[A158060] 25*n+1 (n>0, 26, 51, 76, ,. .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 26^2-27*5^2=1; 51^2-104*5^2=1; 76^2-231*5^2=1.
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LINKS
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Edward Everett Withford, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
Wolfram MathWorld, Pell Equation
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FORMULA
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a(n)=25*n+1 (n>0)
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EXAMPLE
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For n=1, a(1)=26; n=2, a(2)=51; n=3, a(3)=76
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CROSSREFS
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Cf. A154377, A010716
Sequence in context: A137263 A044078 A044459 this_sequence A122999 A040650 A121738
Adjacent sequences: A158057 A158058 A158059 this_sequence A158061 A158062 A158063
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KEYWORD
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nonn
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AUTHOR
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Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 12 2009
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