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A064137 Number of divisors of 12^n + 1 that are relatively prime to 12^m + 1 for all 0 < m < n. +0
1
2, 2, 4, 4, 4, 2, 2, 4, 8, 4, 2, 2, 4, 8, 4, 8, 4, 4, 4, 8, 16, 8, 16, 8, 8, 16, 8, 32, 2, 4, 2, 4, 4, 32, 4, 2, 8, 8, 8, 16, 2, 16, 2, 16, 4, 8, 2, 16, 8 (list; graph; listen)
OFFSET

0,1

LINKS

Sam Wagstaff, Cunningham Project, Factorizations of 12^n-1, n<=240

MATHEMATICA

a = {1}; Do[ d = Divisors[ 12^n + 1 ]; l = Length[ d ]; c = 0; k = 1; While[ k < l + 1, If[ Union[ GCD[ a, d[ [ k ] ] ] ] == {1}, c++ ]; k++ ]; Print[ c ]; a = Union[ Flatten[ Append[ a, Transpose[ FactorInteger[ 12^n + 1 ] ][ [ 1 ] ] ] ] ], {n, 0, 48} ]

CROSSREFS

Adjacent sequences: A064134 A064135 A064136 this_sequence A064138 A064139 A064140

Sequence in context: A143358 A143729 A006460 this_sequence A104202 A042946 A037202

KEYWORD

nonn

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 10 2001

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.


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