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A240833
Sequence U(n) arising from analysis of structure of A046702.
3
1, 1, 1, 1, 1, 3, 1, 3, 1, 3, 3, 3, 3, 3, 5, 3, 5, 3, 7, 3, 7, 3, 7, 5, 7, 5, 7, 5, 9, 5, 9, 5, 9, 7, 9, 7, 9, 9, 9, 9, 9, 11, 9, 11, 9, 13, 9, 13, 9, 15, 9, 15, 9, 17, 9, 17, 9, 17, 11, 17, 11, 17, 11, 19, 11, 19, 11, 19, 13, 19, 13, 19, 13, 21, 13, 21, 13, 23, 13, 23, 13, 23, 15, 23, 15, 23, 17, 23, 17, 23, 17
OFFSET
2,6
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.
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(U(n), n=2..100)];
CROSSREFS
Sequence in context: A163378 A025810 A001319 * A110919 A281273 A109599
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Apr 16 2014
STATUS
approved