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A228297 Generalized meta-Fibonacci sequence a(n) with parameters s=0 and k=5. 1
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, 23, 24, 25, 25, 25, 26, 27, 28, 29, 30, 30, 31, 32, 33, 34, 35, 35, 36, 37, 38, 39, 40, 40, 41, 42, 43, 44, 45, 45, 46, 47, 48, 49, 50, 50, 50, 51, 52, 53 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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

LINKS

Table of n, a(n) for n=1..65.

C. Deugau and F. Ruskey, Complete k-ary Trees and Generalized Meta-Fibonacci Sequences, J. Integer Seq., Vol. 12.

PROG

(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]; ); }

(HP 49G calculator)

« DUPDUP 5 IQUOT -

  WHILE DUP 0 OVER

    DO 5 IQUOT DUP

ROT + SWAP DUP NOT

    UNTIL

    END DROP +

PICK3 <

  REPEAT 1 +

  END NIP

» Gerald Hillier, Sep 19 2017

CROSSREFS

Cf. A120503, A120507, A228298.

Sequence in context: A006163 A053757 A256562 * A303788 A319288 A106744

Adjacent sequences:  A228294 A228295 A228296 * A228298 A228299 A228300

KEYWORD

nonn

AUTHOR

Michel Marcus, Aug 20 2013

STATUS

approved

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Last modified January 20 12:50 EST 2019. Contains 319330 sequences. (Running on oeis4.)