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Search: id:A158407
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| 901, 1801, 2701, 3601, 4501, 5401, 6301, 7201, 8101, 9001, 9901, 10801, 11701, 12601, 13501, 14401, 15301, 16201, 17101, 18001, 18901, 19801, 20701, 21601, 22501, 23401, 24301, 25201, 26101, 27001, 27901, 28801, 29701, 30601, 31501
(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=[A158406] 900*n.^2+2*n (n>0, 902, 3604, 8106,.,); Y=[A010869] 30 (30, 30, 30, ,.,); X=[A158407] 900*n+1 (n>0, 901, 1801, 2701, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 901^2-902*30^2=1; 1801^2-3604*30^2=1; 2701^2-8106*30^2=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)=900*n+1 (n>0)
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EXAMPLE
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For n=1, a(1)=901; n=2, a(2)=1801; n=3, a(3)=2701
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CROSSREFS
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Cf. A010869, A158406
Sequence in context: A093798 A093218 A093215 this_sequence A031738 A031618 A031528
Adjacent sequences: A158404 A158405 A158406 this_sequence A158408 A158409 A158410
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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 18 2009
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