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Search: id:A076338
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| 1, 513, 1025, 1537, 2049, 2561, 3073, 3585, 4097, 4609, 5121, 5633, 6145, 6657, 7169, 7681, 8193, 8705, 9217, 9729, 10241, 10753, 11265, 11777, 12289, 12801, 13313, 13825, 14337, 14849, 15361, 15873, 16385, 16897, 17409, 17921, 18433
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OFFSET
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0,2
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COMMENT
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First prime is a(15) = 7681, see A076339.
If A=[A031710] 256*n.^2+n (n>0, 257, 1026, 2307,. ,.,); Y=[A010871] 32 (32, 32, 32,..,); X=[A076338] 512*n+1 (n>0, 513, 1025, 1537, ,. .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 513^2-257 *32^2=1; 1025^2-1026*32^2=1; 1537^2-2307*32^2=1. [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 11 2009]
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LINKS
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Tanya Khovanova, Recursive Sequences
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CROSSREFS
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Cf. A031710, A010871 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 11 2009]
Sequence in context: A015931 A060947 A066697 this_sequence A111344 A017681 A013957
Adjacent sequences: A076335 A076336 A076337 this_sequence A076339 A076340 A076341
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KEYWORD
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nonn
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Oct 07 2002
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