A330439 Number of times g(n) appears in [g(0),g(1),...,g(n)], where g = A316774.
1, 1, 1, 2, 1, 1, 3, 2, 1, 2, 3, 1, 3, 4, 1, 2, 4, 2, 3, 4, 2, 5, 1, 6, 2, 3, 3, 7, 1, 4, 4, 5, 1, 8, 2, 2, 5, 3, 6, 3, 4, 7, 1, 8, 5, 1, 9, 3, 1, 6, 4, 4, 9, 2, 2, 7, 6, 3, 7, 5, 2, 5, 6, 3, 8, 3, 4, 10, 1, 5, 10, 1, 6, 7, 4, 7, 8, 1, 9, 6, 2, 11, 5, 2, 8, 7, 3, 8, 9, 1, 9, 10, 1, 10, 11, 1, 4, 5, 10, 4, 2, 11, 6
Offset: 0
Links
- Alois P. Heinz, Table of n, a(n) for n = 0..65536
Programs
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Maple
b:= proc() 0 end: g:= proc(n) option remember; local t; t:= `if`(n<2, n, b(g(n-1))+b(g(n-2))); b(t):= b(t)+1; t end: a:= proc(n) option remember; b(g(n)) end: seq(a(n), n=0..200);
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Mathematica
b[_] = 0; g[n_] := g[n] = Module[{t}, t = If[n<2, n, b[g[n-1]]+b[g[n-2]]]; b[t]++; t]; a[n_] := a[n] = b[g[n]]; a /@ Range[0, 200] (* Jean-François Alcover, Mar 30 2021, after Alois P. Heinz *)