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Search: id:A157952
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| 163, 325, 487, 649, 811, 973, 1135, 1297, 1459, 1621, 1783, 1945, 2107, 2269, 2431, 2593, 2755, 2917, 3079, 3241, 3403, 3565, 3727, 3889, 4051, 4213, 4375, 4537, 4699, 4861, 5023, 5185, 5347, 5509, 5671, 5833, 5995, 6157, 6319, 6481, 6643, 6805, 6967
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OFFSET
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1,1
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COMMENT
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If A=[A031696] 81*n.^2+n (82, 326, 732,.,); Y=[A010857] 18 (18, 18, 18, ,.,); X=[A157952] 162*n+1 (163, 325, 487, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 163^2-82 *18^2=1; 325^2-326*18^2=1; 487^2-732*18^2=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)=162*n+1 (n>0)
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EXAMPLE
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For n=1, a(1)=163; n=2, a(2)=325; n=3, a(3)=487
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CROSSREFS
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Cf. A031696, A010857
Sequence in context: A142534 A142695 A142772 this_sequence A142427 A142237 A142283
Adjacent sequences: A157949 A157950 A157951 this_sequence A157953 A157954 A157955
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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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