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Search: id:A158382
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| 627, 2504, 5631, 10008, 15635, 22512, 30639, 40016, 50643, 62520, 75647, 90024, 105651, 122528, 140655, 160032, 180659, 202536, 225663, 250040, 275667, 302544, 330671, 360048, 390675, 422552, 455679, 490056, 525683, 562560, 600687, 640064
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OFFSET
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1,1
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COMMENT
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If A=[A158382] 625*n.^2+2*n (n>0, 627, 2504, 5631,.,); Y=[A010864] 25 (25, 25, 25, ,.,); X=[A158383] 625*n+1 (n>0, 626, 1251, 1876, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 626^2-627*25^2=1; 1251^2-2504*25^2=1; 1876^2-5631*25^2=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)=625*n^2+2*n (n>0)
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EXAMPLE
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For n=1, a(1)=627; n=2, a(2)=2504; n=3, a(3)=5631
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CROSSREFS
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Cf. A010864, A158383
Sequence in context: A031523 A129974 A031703 this_sequence A098260 A098261 A110904
Adjacent sequences: A158379 A158380 A158381 this_sequence A158383 A158384 A158385
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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 17 2009
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