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A240829 a(1)=-1, a(2)=0, a(3)=1; thereafter a(n) = Sum(a(n-i-s-a(n-i-1)),i=0..k-1) where s=0, k=3. 1
-1, 0, 1, 3, 2, 4, 4, 7, 4, 7, 7, 9, 8, 9, 11, 10, 10, 13, 15, 13, 13, 13, 18, 15, 18, 18, 18, 18, 18, 23, 23, 20, 19, 23, 28, 27, 23, 25, 27, 28, 25, 26, 28, 30, 31, 32, 33, 33, 32, 34, 33, 38, 36, 39, 34, 36, 36, 39, 39, 39, 39, 44, 46, 46, 43, 46, 46, 44, 44, 49, 49, 49, 46, 51, 48, 51, 51, 54, 54, 54, 54, 54 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

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 Fig. 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. (1.6).

s:=0; k:=3;

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

if n <= 3 then n-2

else

    add(a(n-i-s-a(n-i-1)), i=0..k-1);

fi; end;

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

CROSSREFS

Same recurrence as A240828, A120503 and A046702.

Sequence in context: A047993 A033177 A175512 * A284013 A241412 A241445

Adjacent sequences:  A240826 A240827 A240828 * A240830 A240831 A240832

KEYWORD

sign,hear

AUTHOR

N. J. A. Sloane, Apr 16 2014

STATUS

approved

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Last modified June 24 11:11 EDT 2021. Contains 345416 sequences. (Running on oeis4.)