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A023786
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Katadromes: digits in base 4 are in strict descending order.
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2
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0, 1, 2, 3, 4, 8, 9, 12, 13, 14, 36, 52, 56, 57, 228
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listen;
history;
text;
internal format)
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OFFSET
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1,3
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COMMENTS
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No more terms are possible because, although infinitely many numbers have base 4 digits in descending order, like 256, none beyond 228 can have them in strictly descending order. - Alonso del Arte, Feb 08 2019
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LINKS
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EXAMPLE
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228 in base 4 is 3210. Since those digits are in strictly descending order, 228 is in the sequence.
229 in base 4 is 3211. Although those digits are in descending order, the repeated digit 1 means 229 is not in the sequence.
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MATHEMATICA
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Select[Range[0, 255], Max[Differences[IntegerDigits[#, 4]]] < 0 &] (* Harvey P. Dale, Dec 15 2014 *)
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CROSSREFS
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KEYWORD
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nonn,base,fini,full,easy
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AUTHOR
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STATUS
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approved
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