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A099011 Pell pseudoprimes: odd composite numbers n such that P(n)-kronecker(2,n) is divisible by n. 2
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 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

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.

LINKS

Ralf Stephan, Table of n, a(n) for n = 1..200 (Pell pseudoprimes up to 1000000)

EXAMPLE

169 is a Pell pseudoprime because P(169)-kronecker(2,169) is divisible by 169.

CROSSREFS

Cf. A000129.

Sequence in context: A202004 A020249 A156159 * A112076 A069645 A017534

Adjacent sequences:  A099008 A099009 A099010 * A099012 A099013 A099014

KEYWORD

nonn

AUTHOR

Jack Brennen (jb(AT)brennen.net), Nov 13 2004

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Last modified February 16 01:31 EST 2012. Contains 205860 sequences.