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Search: id:A158386
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| 677, 1353, 2029, 2705, 3381, 4057, 4733, 5409, 6085, 6761, 7437, 8113, 8789, 9465, 10141, 10817, 11493, 12169, 12845, 13521, 14197, 14873, 15549, 16225, 16901, 17577, 18253, 18929, 19605, 20281, 20957, 21633, 22309, 22985, 23661, 24337
(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=[A158385] 676*n.^2+2*n (n>0, 678, 2708, 6090,.,); Y=[A010865] 26 (26, 26, 26, ,.,); X=[A158386] 676*n+1 (n>0, 677, 1353, 2029, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 677^2-678*26^2=1; 1353^2-2708*26^2=1; 2029^2-6090*26^2=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)=676*n+1 (n>0)
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EXAMPLE
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For n=1, a(1)=677; n=2, a(2)=1353, n=3, a(3)=2029
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CROSSREFS
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Cf. A010865, A158385
Sequence in context: A058450 A159893 A142755 this_sequence A031614 A031730 A108824
Adjacent sequences: A158383 A158384 A158385 this_sequence A158387 A158388 A158389
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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 17 2009
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