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Search: id:A157997
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| 287, 575, 863, 1151, 1439, 1727, 2015, 2303, 2591, 2879, 3167, 3455, 3743, 4031, 4319, 4607, 4895, 5183, 5471, 5759, 6047, 6335, 6623, 6911, 7199, 7487, 7775, 8063, 8351, 8639, 8927, 9215, 9503, 9791, 10079, 10367, 10655, 10943, 11231, 11519
(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=[A156635] 144*n.^2-n (143, 574, 1293,. ,.,); Y=[A010863] 24 (24, 24, 24,..,); X=[A157997] 288*n-1 (287, 575, 863, ,. .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 287^2-143 *24^2=1; 575^2-574*24^2=1; 863^2-1293*24^2=1.
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LINKS
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Edward Everett Withford, Pell Equation
Wolfram MathWorld, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
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FORMULA
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a(n)=288*n-1 (n>0)
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EXAMPLE
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For n=1, a(1)=287; n=2, a(2)=575; n=3, a(3)=863
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CROSSREFS
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Cf. A010863, A156635
Sequence in context: A117994 A130433 A140926 this_sequence A063362 A159949 A158252
Adjacent sequences: A157994 A157995 A157996 this_sequence A157998 A157999 A158000
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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 11 2009
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