%I A001543 M4091 N1699
%S A001543 1,6,11,71,4691,21982031,483209576974811,
%T A001543 233491495280173380882643611671
%N A001543 A nonlinear recurrence.
%C A001543 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
%D A001543 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A001543 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A001543 S. W. Golomb, On certain nonlinear recurring sequences, Amer. Math. Monthly 
               70 (1963), 403-405.
%H A001543 A. V. Aho and N. J. A. Sloane, <a href="http://www.research.att.com/~njas/
               doc/doubly.html">Some doubly exponential sequences</a>, Fib. Quart., 
               11 (1973), 429-437.
%H A001543 <a href="Sindx_Aa.html#AHSL">Index entries for sequences of form a(n+1)=a(n)^2 
               + ...</a>
%H A001543 S. Mustonen, <a href="http://www.survo.fi/papers/resseq.pdf">On integer 
               sequences with mutual k-residues</a>
%Y A001543 Sequence in context: A128387 A061519 A080875 this_sequence A077705 A077697 
               A013321
%Y A001543 Adjacent sequences: A001540 A001541 A001542 this_sequence A001544 A001545 
               A001546
%K A001543 nonn
%O A001543 0,2
%A A001543 N. J. A. Sloane (njas(AT)research.att.com).