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Search: id:A158010
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| 255, 1022, 2301, 4092, 6395, 9210, 12537, 16376, 20727, 25590, 30965, 36852, 43251, 50162, 57585, 65520, 73967, 82926, 92397, 102380, 112875, 123882, 135401, 147432, 159975, 173030, 186597, 200676, 215267, 230370, 245985, 262112, 278751, 295902
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OFFSET
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1,1
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COMMENT
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If A=[A158010] 256*n.^2-n (255, 1022, 2301,. ,.,); Y=[A010871] 32 (32, 32, 32,..,); X=[A158011] 512*n-1 (511, 1023, 1535, ,. .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 511^2-255 *32^2=1; 1023^2-1022*32^2=1; 1535^2-2301*32^2=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)=256*n^2-n (n>0)
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EXAMPLE
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For n=1, a1)=255; n=2, a(2)=1022; n=3, a(3)=2301
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CROSSREFS
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Cf. A010871, A158011
Sequence in context: A045113 A143035 A157778 this_sequence A038995 A068024 A028524
Adjacent sequences: A158007 A158008 A158009 this_sequence A158011 A158012 A158013
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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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