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URL: https://oeis.org/A241154

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A241154
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=5.
7
1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 9, 9, 9, 9, 13, 9, 13, 13, 17, 13, 17, 13, 17, 17, 21, 17, 21, 21, 21, 21, 25, 25, 25, 25, 25, 29, 29, 29, 29, 33, 29, 33, 33, 37, 33, 37, 33, 41, 37, 41, 37, 45, 37, 45, 41, 49, 41, 49, 41, 53, 45, 53, 45, 57, 45, 57, 49, 61, 49, 61, 49, 61, 53, 65, 53, 65, 57, 65, 57, 69, 61, 69, 61
OFFSET
1,6
LINKS
Joseph Callaghan, 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).
MAPLE
#T_s, k(n) from Callaghan et al. Eq. (1.7).
s:=0; k:=5;
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)];
MATHEMATICA
s = 0; k = 5; a[n_] := a[n] = If[n <= s + k, 1, Sum[a[n - i - s - a[n - i - 1]], {i, 0, k - 1}]]; Array[a, 100] (* Jean-François Alcover, Nov 10 2017 *)
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: A289119 A117878 A291497 * A094636 A105247 A245357
KEYWORD
nonn,hear,look
AUTHOR
N. J. A. Sloane, Apr 16 2014
STATUS
approved