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Search: id:A158067
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| 62, 252, 570, 1016, 1590, 2292, 3122, 4080, 5166, 6380, 7722, 9192, 10790, 12516, 14370, 16352, 18462, 20700, 23066, 25560, 28182, 30932, 33810, 36816, 39950, 43212, 46602, 50120, 53766, 57540, 61442, 65472, 69630, 73916, 78330, 82872
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OFFSET
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1,1
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COMMENT
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If A=[A158067] 64*n.^2-2*n (n>0, 62, 252, 570,.,. ,.,); Y=[A010731] 8 (8,8,8,.,..,); X=[A044631] 64*n-1 (n>0, 63, 127, 191, ,. .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 63^2-62*8^2=1; 127^2-252*8^2=1; 191^2-570*8^2=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)=64*n^2-2*n (n>0)
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EXAMPLE
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For n=1, a(1)=62; n=2, a(2)=252; n=3, a(3)=570
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CROSSREFS
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Cf. A010731, A044631
Sequence in context: A045274 A045175 A100423 this_sequence A045220 A100158 A100166
Adjacent sequences: A158064 A158065 A158066 this_sequence A158068 A158069 A158070
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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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