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A267492 Autobiographical numbers in base 4: numbers which are fixed or belong to a cycle under the operator T. 10
22, 1011112, 1011113, 1111213, 10311233, 101112213 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
The T operator numerically summarizes the frequency of digits 0 through 3 in that order when they occur in a number. The numbers and the frequency are written in base 4.
These are all autobiographical numbers in base 4 which lead to a fixed-point or belong to a cycle. However, in base 4 there are no cycles of length greater than 1, that is, all the terms are fixed-points.
REFERENCES
Antonia Münchenbach and Nicole Anton George, "Eine Abwandlung der Conway-Folge", contribution to "Jugend forscht", 2016
LINKS
Andre Kowacs, Studies on the Pea Pattern Sequence, arXiv:1708.06452 [math.HO], 2017.
EXAMPLE
1011112 contains one 0, five (11 in base 4) 1's, and one 2, so T(1011112) = 1 0 11 1 1 2, and this is fixed under T.
CROSSREFS
Sequence in context: A238635 A013770 A145323 * A013816 A104789 A173101
KEYWORD
nonn,base,fini,full
AUTHOR
STATUS
approved

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Last modified March 28 10:55 EDT 2024. Contains 371241 sequences. (Running on oeis4.)