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Search: id:A158000
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| 339, 677, 1015, 1353, 1691, 2029, 2367, 2705, 3043, 3381, 3719, 4057, 4395, 4733, 5071, 5409, 5747, 6085, 6423, 6761, 7099, 7437, 7775, 8113, 8451, 8789, 9127, 9465, 9803, 10141, 10479, 10817, 11155, 11493, 11831, 12169, 12507, 12845, 13183, 13521
(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=[A031704] 169*n.^2+n (170, 678, 1524,. ,.,); Y=[A010865] 26 (26, 26, 26,..,); X=[A158000] 338*n+1 (339, 677, 1015, ,. .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 339^2-170 *26^2=1; 677^2-678*26^2=1; 1015^2-1524*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)=338*n+1 (n>0)
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EXAMPLE
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For n=1, a(1)=339; n=2, a(2)=677; n=3, a(3)=1015
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CROSSREFS
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Cf. A031704, A010865
Sequence in context: A059976 A035750 A107546 this_sequence A076748 A057598 A025335
Adjacent sequences: A157997 A157998 A157999 this_sequence A158001 A158002 A158003
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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 14 2009
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