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A267492
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Autobiographical numbers in base 4: numbers which are fixed or belong to a cycle under the operator T.
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10
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OFFSET
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1,1
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COMMENTS
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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.
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REFERENCES
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Antonia Münchenbach and Nicole Anton George, "Eine Abwandlung der Conway-Folge", contribution to "Jugend forscht", 2016
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LINKS
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EXAMPLE
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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.
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CROSSREFS
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KEYWORD
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nonn,base,fini,full
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AUTHOR
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STATUS
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approved
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