OFFSET
1,2
COMMENTS
A fractal sequence, generated by the rule a(n) is a new maximum when a(n-1) is odd and a repetition of an earlier value when a(n-1) is even.
LINKS
Alois P. Heinz, Rows n = 1..10000, flattened
FORMULA
a(1) = 1, for n > 1, if a(n-1) is even, a(n) = a(n-1)/2, otherwise a(n) = (max_{k<n} a(k)) + 1.
Ordinal transform of A082850.
EXAMPLE
Triangle starts
1;
2, 1;
3;
4, 2, 1;
5;
6, 3;
7;
8, 4, 2, 1;
9;
10, 5;
11;
12, 6, 3;
13;
MAPLE
T:= proc(n) local m, l; m:=n; l:= m;
while irem(m, 2, 'm')=0 do l:=l, m od: l
end:
seq(T(n), n=1..40); # Alois P. Heinz, Oct 09 2015
MATHEMATICA
Flatten[Function[n, NestWhile[Append[#, Last[#]/2] &, {n}, EvenQ[Last[#]] &]][#] & /@ Range[20]] (* Birkas Gyorgy, Apr 13 2011 *)
CROSSREFS
KEYWORD
nonn,tabf
AUTHOR
Franklin T. Adams-Watters, Oct 13 2006
STATUS
approved