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A095386
Largest prime factor of peak values of 3x+1 trajectory started at n.
0
2, 2, 2, 2, 2, 13, 2, 13, 2, 13, 2, 5, 13, 5, 2, 13, 13, 11, 5, 2, 13, 5, 3, 11, 5, 577, 13, 11, 5, 577, 2, 5, 13, 5, 13, 7, 11, 19, 5, 577, 2, 7, 13, 17, 5, 577, 3, 37, 11, 29, 13, 5, 577, 577, 7, 7, 11, 19, 5, 23, 577, 577, 2, 7, 5, 19, 17, 13, 5, 577, 3, 577, 7, 17, 11, 29, 19, 101, 5
OFFSET
2,1
FORMULA
a(n) = A006530(A025586(n)).
EXAMPLE
n=27: peak = 9232 = 2*2*2*2*577, so a(27)=577;
more extensive search suggests that all primes may occur as largest prime factor of peak.
CROSSREFS
Sequence in context: A088050 A260725 A058005 * A060359 A376010 A029665
KEYWORD
nonn
AUTHOR
Labos Elemer, Jun 14 2004
STATUS
approved