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A018844
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Arises from generalized Lucas-Lehmer test for primality.
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1
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4, 10, 52, 724, 970, 10084, 95050, 140452, 1956244, 9313930, 27246964, 379501252, 912670090, 5285770564, 73621286644, 89432354890, 1025412242452, 8763458109130, 14282150107684, 198924689265124
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Apparently this was suggested by an article by R. M. Robinson.
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
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LINKS
| Herb Savage et al., Re: Mersenne: starting values for LL-test
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FORMULA
| 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}.
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
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
a(n) = sqrt(A206257(n) + 2). [Arkadiusz Wesolowski, Feb 08 2012]
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CROSSREFS
| Sequence in context: A151611 A032495 A109387 * A007027 A192444 A197902
Adjacent sequences: A018841 A018842 A018843 * A018845 A018846 A018847
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KEYWORD
| easy,nonn,changed
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AUTHOR
| Robert G. Wilson v, PhD ATP (rgwv(AT)rgwv.com)
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