Search: id:A018844
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%I A018844
%S A018844 4,10,52,724,970,10084,95050,140452,1956244,9313930,27246964,
%T A018844 379501252,912670090,5285770564,73621286644,89432354890,
%U A018844 1025412242452,8763458109130,14282150107684,198924689265124
%N A018844 Arises from generalized Lucas-Lehmer test for primality.
%C A018844 Apparently this was suggested by an article by R. M. Robinson.
%C A018844 Starting values for Lucas-Lehmer test that result in a zero term (mod 
               Mersenne prime Mp) after P-1 steps. - Jason Follas (jfollas_mersenne(AT)hotmail.com), 
               Aug 01 2004
%H A018844 Herb Savage et al., <a href="http://www2.netdoor.com/~acurry/mersenne/
               archive1/0073.html">Re: Mersenne: starting values for LL-test</a>
%F A018844 Union of sequences a_1=4, a_2=52, a_{n}=14*a_{n-1} - a_{n-2} and b_1=10, 
               b_2=970, b_{n}=98*b_{n-1} - b_{n-2}.
%F A018844 a[1]=14 (mod Mp), a[2]=52 (mod Mp), a[n]=(14*a[n-1]-a[n-2]) (mod Mp). 
               - Jason Follas (jfollas_mersenne(AT)hotmail.com), Aug 01 2004
%F A018844 Though originally noted as the union of two sequences, when the first 
               sequence (14*a[n-1]-a[n-2]) is evaluated modulo a Mersenne prime, 
               the terms of the second sequence (98*b[n-1]-b[n-2]) will occur naturally 
               (just not in numerical order). - Jason Follas (jfollas_mersenne(AT)hotmail.com), 
               Aug 01 2004
%Y A018844 Sequence in context: A151611 A032495 A109387 this_sequence A007027 A096423 
               A013589
%Y A018844 Adjacent sequences: A018841 A018842 A018843 this_sequence A018845 A018846 
               A018847
%K A018844 nonn
%O A018844 0,1
%A A018844 Robert G. Wilson v, PhD ATP (rgwv(AT)rgwv.com)

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