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A228298 Generalized meta-Fibonacci sequence a(n) with parameters s=0 and k=7. 1

%I #12 Aug 20 2013 14:29:46

%S 1,2,3,4,5,6,7,7,8,9,10,11,12,13,14,14,15,16,17,18,19,20,21,21,22,23,

%T 24,25,26,27,28,28,29,30,31,32,33,34,35,35,36,37,38,39,40,41,42,42,43,

%U 44,45,46,47,48,49,49,49,50,51,52,53,54,55,56,56

%N Generalized meta-Fibonacci sequence a(n) with parameters s=0 and k=7.

%C It appears than a(n) = A020646(n)/7 for n>0 (verified up to n=700).

%H C. Deugau and F. Ruskey, <a href="http://www.cs.uwaterloo.ca/journals/JIS/VOL12/Ruskey/ruskey6.pdf">Complete k-ary Trees and Generalized Meta-Fibonacci Sequences</a>, J. Integer Seq., Vol. 12.

%o (PARI) a(n)= {local(A); if(n<=7, max(0, n), A=vector(n, i, i); for(k=8, n, A[k]= A[k-A[k-1]] + A[k-1-A[k-2]] + A[k-2-A[k-3]] + A[k-3-A[k-4]] + A[k-4-A[k-5]] + A[k-5-A[k-6]] + A[k-6-A[k-7]];); A[n];);}

%Y Cf. A120503, A120507, A228297.

%K nonn

%O 1,2

%A _Michel Marcus_, Aug 20 2013

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)