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A241155 a(n)=1 for n <= s+k; thereafter a(n) = Sum(a(n-i-s-a(n-i-1)),i=0..k-1) where s=0, k=6. 6
1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6, 6, 11, 11, 11, 11, 11, 16, 11, 16, 16, 16, 21, 16, 21, 16, 21, 26, 21, 26, 21, 26, 26, 26, 31, 26, 31, 31, 31, 31, 31, 36, 36, 36, 36, 36, 36, 36, 41, 41, 41, 41, 41, 46, 41, 46, 46, 46, 51, 46, 51, 46, 51, 56, 51, 56, 51, 56, 56, 56, 61, 56, 61, 61, 61, 61, 61, 66, 66, 66, 66, 66 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,7

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. (1.7).

LINKS

N. J. A. Sloane, Table of n, a(n) for n = 1..20000

Index entries for Hofstadter-type sequences

MAPLE

#T_s, k(n) from Callaghan et al. Eq. (1.7).

s:=0; k:=6;

a:=proc(n) option remember; global s, k;

if n <= s+k then 1

else

add(a(n-i-s-a(n-i-1)), i=0..k-1);

fi; end;

t1:=[seq(a(n), n=1..100)];

CROSSREFS

Callaghan et al. (2005)'s sequences T_{0,k}(n) for k=1 through 7 are A000012, A046699, A046702, A240835, A241154, A241155, A240830.

Sequence in context: A082509 A226280 A103337 * A245399 A243758 A318355

Adjacent sequences:  A241152 A241153 A241154 * A241156 A241157 A241158

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Apr 16 2014

STATUS

approved

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Last modified June 16 21:20 EDT 2019. Contains 324155 sequences. (Running on oeis4.)