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A228297 Generalized meta-Fibonacci sequence a(n) with parameters s=0 and k=5. 1

%I

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

%T 23,24,25,25,25,26,27,28,29,30,30,31,32,33,34,35,35,36,37,38,39,40,40,

%U 41,42,43,44,45,45,46,47,48,49,50,50,50,51,52,53

%N Generalized meta-Fibonacci sequence a(n) with parameters s=0 and k=5.

%C It appears that a(n) = A007845(n)/5 for n>0 (verified up to n=800).

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

%o (PARI) a(n)= {local(A); if(n<=5, max(0, n), A=vector(n, i, i); for(k=6, 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[n];);}

%o (HP 49G calculator)

%o « DUPDUP 5 IQUOT -

%o WHILE DUP 0 OVER

%o DO 5 IQUOT DUP

%o ROT + SWAP DUP NOT

%o UNTIL

%o END DROP +

%o PICK3 <

%o REPEAT 1 +

%o END NIP

%o » _Gerald Hillier_, Sep 19 2017

%Y Cf. A120503, A120507, A228298.

%K nonn

%O 1,2

%A _Michel Marcus_, Aug 20 2013

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Last modified November 14 02:19 EST 2019. Contains 329108 sequences. (Running on oeis4.)