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A105605 Sylvester-Pell cyclotomic numbers. +0
2
1, 2, 5, 6, 29, 7, 169, 34, 197, 41, 5741, 33, 33461, 239, 1345, 1154, 1136689, 199, 6625109, 1121, 45697, 8119, 225058681, 1153, 45232349, 47321, 7761797, 38081, 44560482149, 961 (list; graph; listen)
OFFSET

1,2

COMMENT

Primitive parts of Pell numbers A000129.

LINKS

Eric Weisstein's World of Mathematics, Sylvester Cyclotomic Number.

FORMULA

a(n)=product{k=1..n-1, if(gcd(n, k)=1, (1+sqrt(2))-(1-sqrt(2))*exp(2*pi*I*k/n), 1)}, I=sqrt(-1)

CROSSREFS

Sequence in context: A128367 A137067 A008555 this_sequence A056441 A055877 A111190

Adjacent sequences: A105602 A105603 A105604 this_sequence A105606 A105607 A105608

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Apr 15 2005

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Last modified July 26 23:19 EDT 2008. Contains 142293 sequences.


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