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A129377
First occurrence of n in A085068.
1
3, 2, 1, 17, 19, 14, 10, 7, 5, 500, 404, 311, 233, 215, 161, 2363, 1772, 3097, 11474, 8605, 8234, 6175, 4631, 3473, 34196, 30779, 23084, 38752, 422549, 335165, 1500443, 1125332, 2039653, 2762863, 2072147, 1554110, 1165582, 874186, 655639, 491729
OFFSET
1,1
COMMENTS
A085068: Number of steps for iteration of map x -> (4/3)*ceiling(x) to reach an integer > n when started at n, or -1 if no such integer is ever reached.
In the creation of this sequence I have tested all integers from 0 to 400000000 and they all reach an integer.
LINKS
Robert G. Wilson v, Table of n, a(n) for n = 1..50.
MATHEMATICA
f[n_] := Block[{c = 1, k = 4 n/3}, While[ !IntegerQ@k, c++; k = 4 Ceiling@k/3]; c]; t = Table[0, {1000}]; Do[ a = f@n; If[a < 101 && t[[a]] == 0, t[[a]] = n; Print[{a, n}]], {n, 0, 2800000}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Robert G. Wilson v, May 27 2007
STATUS
approved