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Search: id:A157627
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| 1960, 9960, 17960, 25960, 33960, 41960, 49960, 57960, 65960, 73960, 81960, 89960, 97960, 105960, 113960, 121960, 129960, 137960, 145960, 153960, 161960, 169960, 177960, 185960, 193960, 201960, 209960, 217960, 225960, 233960, 241960, 249960
(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=[A157626] 100*n.^2-151*n +57 (6, 155, 504 ,..,); Y=[A157627] 8000*n-6040 (1960, 9960, 17960..,); X=[A157628] 80000*n^2-120800*n+45601 (4801, 124001, 403201,.,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 4801^2-6*1960^2=1; 124001^2-155*9960^2=1; 403201^2-504*17960^2=1.
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LINKS
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Wolfram MathWorld, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
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FORMULA
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a(n)=8000*n-6040 (n>0)
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EXAMPLE
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For n=1, a(1)=1960; n=2, a(2)=9960; n=3, a(3)=17960
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CROSSREFS
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Cf. A157626, A157628
Sequence in context: A031542 A155809 A116211 this_sequence A072598 A159213 A056094
Adjacent sequences: A157624 A157625 A157626 this_sequence A157628 A157629 A157630
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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 03 2009
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