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Search: id:A001543
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| A001543 |
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A nonlinear recurrence.
(Formerly M4091 N1699)
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+0
2
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| 1, 6, 11, 71, 4691, 21982031, 483209576974811, 233491495280173380882643611671
(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=5 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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A. V. Aho and N. J. A. Sloane, Some doubly exponential sequences, Fib. Quart., 11 (1973), 429-437.
Index entries for sequences of form a(n+1)=a(n)^2 + ...
S. Mustonen, On integer sequences with mutual k-residues
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CROSSREFS
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Sequence in context: A128387 A061519 A080875 this_sequence A077705 A077697 A013321
Adjacent sequences: A001540 A001541 A001542 this_sequence A001544 A001545 A001546
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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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