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Autobiographical numbers in base 5: numbers which are fixed or belong to a cycle under the operator T.
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%I #18 Dec 19 2017 18:34:20

%S 22,10213223,10313314,10311233,21322314,31123314,101111314,101111213,

%T 101111214,111121314,1031223314,10111221314

%N Autobiographical numbers in base 5: numbers which are fixed or belong to a cycle under the operator T.

%C The T operator numerically summarizes the frequency of digits 0 through 4 in that order when they occur in a number. The numbers and the frequency are written in base 5.

%C These are all autobiographical numbers in base 5 which lead to a fixed-point or belong to a cycle. However, in base 5 there are no cycles of length greater than 1, that is, all the terms are fixed-points.

%D Antonia Münchenbach and Nicole Anton George, "Eine Abwandlung der Conway-Folge", contribution to "Jugend forscht" 2016, 2016

%H Andre Kowacs, <a href="https://arxiv.org/abs/1708.06452">Studies on the Pea Pattern Sequence</a>, arXiv:1708.06452 [math.HO], 2017.

%e 10213223 contains 1 0's, 2 1's, 3 2's and 2 3's.

%Y Cf. A047841, A047842.

%Y Cf. A267491, A267492, A267493, A267494, A267495, A267496, A267497, A267498, A267499, A267500, A267502.

%K nonn,base,fini,full

%O 1,1

%A _Antonia Münchenbach_, Jan 16 2016