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A240835 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=4. 6
1, 1, 1, 1, 4, 4, 4, 4, 7, 7, 7, 10, 7, 10, 13, 10, 13, 13, 13, 16, 16, 16, 16, 16, 19, 19, 19, 22, 19, 22, 25, 22, 25, 25, 25, 28, 28, 28, 28, 31, 31, 31, 34, 31, 34, 37, 34, 37, 37, 34, 40, 40, 37, 43, 40, 40, 46, 43, 43, 46, 46, 46, 49, 49, 46, 52, 52, 49, 55, 52, 52, 58, 55, 55, 58, 55, 58, 61, 58, 61, 61, 61 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

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) and Table 6.1

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:=4;

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: A113646 A106325 A159835 * A047210 A120327 A056629

Adjacent sequences: A240832 A240833 A240834 * A240836 A240837 A240838

KEYWORD

nonn,hear

AUTHOR

N. J. A. Sloane, Apr 16 2014

STATUS

approved

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Last modified December 9 23:05 EST 2022. Contains 358710 sequences. (Running on oeis4.)