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Search: id:A001544
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| A001544 |
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A nonlinear recurrence.
(Formerly M4346 N1820)
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+0
2
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| 1, 7, 13, 97, 8833, 77968897, 6079148431583233, 36956045653220845240164417232897, 1365749310322943329964576677590044473746108255675592519835615233
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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This is the special case k=6 of sequences with exact mutual k-residues. In general, a(1)=k+1 and a(n)=min{m | m>a(n-1), mod(m,a(i))=k, i=1,...,n-1}. k=1 gives Sylvester's sequence A000058 and k=2 Fermat sequence A000215. - Seppo Mustonen (seppo.mustonen(AT)helsinki.fi), Sep 4 2005
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
S. W. Golomb, On certain nonlinear recurring sequences, Amer. Math. Monthly 70 (1963), 403-405.
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LINKS
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S. Mustonen, On integer sequences with mutual k-residues
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FORMULA
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a(0)=1, a(1)=7, a(n)=a(n-1)^2-6*a(n-1)+6 if n>1.
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PROGRAM
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(PARI) a(n)=if(n<1, n==0, if(n==1, 7, n=a(n-1); n^2-6*n+6))
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CROSSREFS
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Sequence in context: A132373 A110293 A039687 this_sequence A136720 A035030 A046519
Adjacent sequences: A001541 A001542 A001543 this_sequence A001545 A001546 A001547
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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