A182006 Lengths of periods of iterations described in A182005 for terms of A182005.

2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 3, 2, 2, 3, 2, 2, 2, 4, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3

Offset

1,1

Comments

Period of length 4 occurs for terms of A182005 equaled 91, 405, 659, 873, 1335, 1723, 1751,... For example, for 91 we have period {52, 50, 60, 54}. Up to now, periods of lengths 5 or 6 were not found.

Links

Table of n, a(n) for n=1..98.

Mathematica

period[seq_] := (If[Last[#1] == {} || Length[#1] == Length[seq] -1, 0, Length[#1]]&)[NestWhileList[Rest, Rest[seq], #1 != Take[seq, Length[#1]]&, 1]]; {A182005, A182006} = Transpose[Select[Table[{n, period[Take[Module[{p}, Flatten[{p=Apply[Plus, IntegerDigits[2^#, 3]], Table[p=Apply[Plus, IntegerDigits[2^#+p, 3]], {40}]}&[n]]], -20]]}, {n, 1, 500}], #[[2]] =!= 1&]]

Crossrefs

Cf. A182005.

Sequence in context: A166497 A116909 A333853 * A085239 A374369 A242872

Adjacent sequences: A182003 A182004 A182005 * A182007 A182008 A182009

Keyword

nonn,base

Author

Vladimir Shevelev and Peter J. C. Moses, Apr 06 2012

Status

approved