%I #5 Apr 16 2014 17:41:54
%S 0,1,2,3,2,3,4,3,4,3,6,5,6,5,6,7,6,7,6,9,6,9,6,11,8,11,8,11,10,13,10,
%T 13,10,15,12,15,12,15,14,15,14,15,16,15,16,15,18,15,18,15,20,15,20,15,
%U 22,15,22,15,24,17,24,17,24,19,26,19,26,19,28,21,28,21,28,23,30,23,30,23,32,23,32,23,34,25,34,25,34
%N Sequence R(n) arising from analysis of structure of A046702.
%D Callaghan, Joseph, John J. Chew III, and Stephen M. Tanny. "On the behavior of a family of meta-Fibonacci sequences." SIAM Journal on Discrete Mathematics 18.4 (2005): 794-824. See Eq. (3.1) and Table 3.1.
%H <a href="/index/Ho#Hofstadter">Index entries for Hofstadter-type sequences</a>
%p #T_s,k(n) from Callaghan et al. Eq. (3.1).
%p s:=0; k:=3;
%p T:=proc(n) option remember; global R,U,s,k; # A046702
%p if n <= s+k then 1
%p else
%p add(U(n-i),i=0..k-1);
%p fi; end;
%p U:=proc(n) option remember; global R,T,s,k; # A240833
%p T(R(n)); end;
%p R:=proc(n) option remember; global U,T,s,k; # A240834
%p n-s-T(n-1); end;
%p t1:=[seq(R(n),n=1..100)];
%Y Cf. A046702, A240833.
%K nonn
%O 1,3
%A _N. J. A. Sloane_, Apr 16 2014