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Search: id:A157505
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| 1476, 2934, 4392, 5850, 7308, 8766, 10224, 11682, 13140, 14598, 16056, 17514, 18972, 20430, 21888, 23346, 24804, 26262, 27720, 29178, 30636, 32094, 33552, 35010, 36468, 37926, 39384, 40842, 42300, 43758, 45216, 46674, 48132, 49590
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OFFSET
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1,1
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COMMENT
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If A=[A031433] 81*n.^2+2*n (83,328,735,.,); Y=[A157505] 1458*n+18 (1476,2934,4392, 5850..,); X=[A157506] 13122*n^2+324*n+1 (13447,53137,119071,.,) ; , we have for all terms, Pell's equation X^2-A*Y^2=1. Example: 13447^2-83*1476^2=1; 53137^2-328*2934^2=1; 119071^2-735*4392^2=1.
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LINKS
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Vincenzo Librandi, X^2-AY^2=1
Wolfram MathWorld, Pell Equation
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FORMULA
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a(n)=1458*n+18 (n>0)
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EXAMPLE
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For n=1, a(1)=1476; n=2, a(2)=2934; n=3, a(3)=4392
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CROSSREFS
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Cf. A031433, A157505
Sequence in context: A083526 A068753 A167575 this_sequence A159719 A052167 A097024
Adjacent sequences: A157502 A157503 A157504 this_sequence A157506 A157507 A157508
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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 02 2009
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