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Search: id:A065532
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| -1, 47, 191, 431, 767, 1199, 1727, 2351, 3071, 3887, 4799, 5807, 6911, 8111, 9407, 10799, 12287, 13871, 15551, 17327, 19199, 21167, 23231, 25391, 27647, 29999, 32447, 34991, 37631, 40367, 43199, 46127, 49151, 52271, 55487, 58799, 62207
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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If A=[A158636] 576*n.^2-24 (n>0, 552, 2280, 5160,.,); Y=[A005843] 2*n (n>0, 2, 4, 6,.,); X = [A065532] 48*n^2-1 (n>0, 47, 191, 431, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 47^2-552*2^2=1; 191^2-2280*4^2=1; 431^2-5160*6^2=1. [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 23 2009]
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LINKS
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Harry J. Smith, Table of n, a(n) for n=0,...,1000
Edward Everett Withford, Pell Equation [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 23 2009]
Vincenzo Librandi, X^2-AY^2=1 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 23 2009]
Wolfram MathWorld, Pell Equation [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 23 2009]
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PROGRAM
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(PARI) A065532(n)=48*n^2-1
(PARI) { for (n=0, 1000, write("b065532.txt", n, " ", 48*n^2 - 1) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Oct 21 2009]
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CROSSREFS
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Cf. A005843, A158636 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 23 2009]
Sequence in context: A142916 A158632 A142413 this_sequence A157362 A141874 A142203
Adjacent sequences: A065529 A065530 A065531 this_sequence A065533 A065534 A065535
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KEYWORD
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sign
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Nov 28 2001
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EXTENSIONS
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Better description from Randall L. Rathbun, Jan 19 2002
OFFSET changed from 1,2 to 0,2 by Harry J. Smith (hjsmithh(AT)sbcglobal.net), Oct 21 2009
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