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Search: id:A157796
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| A157796 |
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a(n)=27225*n^2-12098*n+1344 (n>0) |
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+0
3
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| 16471, 86048, 210075, 388552, 621479, 908856, 1250683, 1646960, 2097687, 2602864, 3162491, 3776568, 4445095, 5168072, 5945499, 6777376, 7663703, 8604480, 9599707, 10649384, 11753511, 12912088, 14125115, 15392592, 16714519
(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=[A157796] 27225*n.^2-12098*n +1344 (16471, 86048, 210075,.,); Y=[A157797] 8984250*n -1996170 (6988080, 15972330, 24956580,..,); X=[A157798] 1482401250*n^2-658736100*n +73180801 (896845951, 4685313601,.,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 896845951^2-16471 *6988080^2=1; 4685313601^2-86048*15972330^2=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)=27225*n^2-12098*n+1344 (n>0)
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EXAMPLE
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For n=1, a(1)=16471; n=2, a(2)=86048; n=3, a(3)=210075
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CROSSREFS
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Cf. A157797, A157798
Sequence in context: A076166 A031829 A057680 this_sequence A091089 A109028 A057329
Adjacent sequences: A157793 A157794 A157795 this_sequence A157797 A157798 A157799
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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 07 2009
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