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Search: id:A099011
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| A099011 |
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Pell pseudoprimes: odd composite numbers n such that P(n)-kronecker(2,n) is divisible by n. |
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+0
2
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| 169, 385, 741, 961, 1121, 2001, 3827, 4879, 5719, 6215, 6265, 6441, 6479, 6601, 7055, 7801, 8119, 9799, 10945, 11395, 13067, 13079, 13601, 15841, 18241, 19097, 20833, 20951, 24727, 27839, 27971, 29183, 29953, 31417, 31535, 34561, 35459, 37345
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OFFSET
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1,1
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COMMENT
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Here P(n) are the Pell numbers (A000129), defined by P(0)=0, P(1)=1, P(x)=2*P(x-1)+P(x-2) and kronecker(2,n) is equal to 1 if n is congruent to +/-1 mod 8 and equal to -1 if n is congruent to +/-3 mod 8.
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LINKS
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Ralf Stephan, Table of n, a(n) for n = 1..200 (Pell pseudoprimes up to 1000000)
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EXAMPLE
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169 is a Pell pseudoprime because P(169)-kronecker(2,169) is divisible by 169.
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CROSSREFS
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Cf. A000129.
Adjacent sequences: A099008 A099009 A099010 this_sequence A099012 A099013 A099014
Sequence in context: A018820 A020249 A156159 this_sequence A112076 A069645 A017534
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KEYWORD
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nonn
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AUTHOR
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Jack Brennen (jb(AT)brennen.net), Nov 13 2004
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