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A317359 a(0) = 0, a(1) = 1; for n >= 2, a(n) = freq(a(n-g(n)),n) where g = A000523 and freq(i, j) is the number of times i appears in the terms a(0) .. a(j-1). 4
0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 8, 8, 8, 8, 4, 4, 4, 4, 7, 7, 7, 7, 4, 4, 4, 4, 4, 12, 12, 12, 12, 12, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 11, 11, 11, 11, 11, 5, 5, 5, 5, 5, 5, 17, 17, 17, 17, 17, 17, 6, 6, 6, 6, 6, 6, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 11, 11, 11, 11, 11 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..65536

Altug Alkan, A line graph of a(n) for n <= 2500

MAPLE

b:= proc() 0 end:

a:= proc(n) option remember; local t;

      t:= `if`(n<2, n, b(a(n-ilog2(n))));

      b(t):= b(t)+1; t

    end:

seq(a(n), n=0..200);  # Alois P. Heinz, Jul 26 2018

MATHEMATICA

c = <||>; f[n_] := If[KeyExistsQ[c, n], c[n], 0]; a[n_] := a[n] = Block[{v}, v = If[n < 2, n, f[a[n - Floor@ Log2@ n]]]; If[f[v] > 0, c[v] = c[v] + 1, c[v] = 1]; v]; Array[a, 96, 0] (* Giovanni Resta, Jul 26 2018 *)

CROSSREFS

Cf. A000523, A317223, A317361.

Sequence in context: A131343 A089051 A331255 * A108229 A023966 A088141

Adjacent sequences:  A317356 A317357 A317358 * A317360 A317361 A317362

KEYWORD

nonn,look

AUTHOR

Altug Alkan, Jul 26 2018

STATUS

approved

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Last modified September 27 13:13 EDT 2020. Contains 337380 sequences. (Running on oeis4.)