%I #18 Dec 06 2023 15:29:48
%S 0,1,2,3,4,5,6,7,2,3,4,5,6,7,8,3,4,5,6,7,8,3,10,5,6,7,8,3,10,5,12,7,8,
%T 3,10,5,12,7,14,9,10,5,12,7,14,9,10,11,12,7,14,9,10,11,12,13,14,9,10,
%U 11,12,13,14,15,10,11,12,13,14,15,10,17,12,13,14,15,10,17,12,19,14,15,10,17,12,19,14,21,10,17
%N Sequence R(n) arising from analysis of structure of A240830.
%H Paolo Xausa, <a href="/A240832/b240832.txt">Table of n, a(n) for n = 1..10000</a>
%H Joseph Callaghan, John J. Chew III, and Stephen M. Tanny, <a href="https://doi.org/10.1137/S0895480103421397">On the behavior of a family of meta-Fibonacci sequences</a>, SIAM Journal on Discrete Mathematics 18.4 (2005): 794-824. See Eq. (2.2) and Table 2.3.
%H <a href="/index/Ho#Hofstadter">Index entries for Hofstadter-type sequences</a>
%p #T_s,k(n) from Callaghan et al. Eq. (2.2).
%p s:=0; k:=7;
%p T:=proc(n) option remember; global R,U,s,k; # A240830
%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; # A240831
%p T(R(n)); end;
%p R:=proc(n) option remember; global U,T,s,k; # A240832
%p n-s-T(n-1); end;
%p t1:=[seq(R(n),n=1..100)];
%t A240830[n_]:=A240830[n]=If[n<=7,1,Sum[A240830[A240832[n-i]],{i,0,6}]];
%t A240832[n_]:=A240832[n]=n-A240830[n-1];
%t Array[A240832,100] (* _Paolo Xausa_, Dec 06 2023, after _N. J. A. Sloane_ *)
%Y Cf. A240830, A240831.
%K nonn
%O 1,3
%A _N. J. A. Sloane_, Apr 16 2014