A240834 Sequence R(n) arising from analysis of structure of A046702.

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, 13, 10, 15, 12, 15, 12, 15, 14, 15, 14, 15, 16, 15, 16, 15, 18, 15, 18, 15, 20, 15, 20, 15, 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

Offset

1,3

References

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.

Links

Table of n, a(n) for n=1..87.

Index entries for Hofstadter-type sequences

Maple

#T_s, k(n) from Callaghan et al. Eq. (3.1).
s:=0; k:=3;
T:=proc(n) option remember; global R, U, s, k; # A046702
if n <= s+k then 1
else
add(U(n-i), i=0..k-1);
fi; end;
U:=proc(n) option remember; global R, T, s, k; # A240833
T(R(n)); end;
R:=proc(n) option remember; global U, T, s, k; # A240834
n-s-T(n-1); end;
t1:=[seq(R(n), n=1..100)];

Crossrefs

Cf. A046702, A240833.

Sequence in context: A123182 A069464 A156723 * A256993 A348192 A173523

Adjacent sequences: A240831 A240832 A240833 * A240835 A240836 A240837

Keyword

nonn

Author

N. J. A. Sloane, Apr 16 2014

Status

approved