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Search: id:A157474
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| 17, 66, 147, 260, 405, 582, 791, 1032, 1305, 1610, 1947, 2316, 2717, 3150, 3615, 4112, 4641, 5202, 5795, 6420, 7077, 7766, 8487, 9240, 10025, 10842, 11691, 12572, 13485, 14430, 15407, 16416, 17457, 18530, 19635, 20772, 21941, 23142, 24375, 25640
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OFFSET
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1,1
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COMMENT
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If A=[A157474] 16*n.^2+n (17,66,147,260,.,); Y=[A157475] 512*n+16 (528,1040,1552,2064..,); X=[A157476] 2048*n^2+128*n+1 (2177,8449,18817,.,) ; , we have for all terms, Pell's equation X^2-A*Y^2=1. Example: 2177^2-17*528^2=1; 8449^2-66*1040^2=1; 18817^2-147*1552^2=1.
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LINKS
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Vincenzo Librandi, X^2-AY^2=1
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FORMULA
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a(n)=16*n^2+n (n>0)
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EXAMPLE
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For n=1, a(n)=17; n=2, a(2)=66; n=3, a(3)=147
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CROSSREFS
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Cf. A157475, A157476
Sequence in context: A115295 A065011 A031432 this_sequence A024215 A095071 A095072
Adjacent sequences: A157471 A157472 A157473 this_sequence A157475 A157476 A157477
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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 01 2009
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