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Search: id:A157948
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| 63, 254, 573, 1020, 1595, 2298, 3129, 4088, 5175, 6390, 7733, 9204, 10803, 12530, 14385, 16368, 18479, 20718, 23085, 25580, 28203, 30954, 33833, 36840, 39975, 43238, 46629, 50148, 53795, 57570, 61473, 65504, 69663, 73950, 78365, 82908
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OFFSET
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1,1
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COMMENT
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If A=[A157948] 64*n.^2-n (63, 254, 573,.,); Y=[A010855] 16 (16, 16, 16, ,.,); X=[A157949] 128*n-1 1 (127, 255, 383.,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 127^2-63 *16^2=1; 255^2-254*16^2=1; 383^2-573*16^2=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)=64*n^2-n
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EXAMPLE
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For n=1, a(1)=63; n=2, a(2)=254; n=3, a(3)=573
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CROSSREFS
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Cf. A010855, A157949
Sequence in context: A038644 A083079 A158676 this_sequence A158684 A063398 A138833
Adjacent sequences: A157945 A157946 A157947 this_sequence A157949 A157950 A157951
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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 10 2009
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