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A297772
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Number of distinct runs in base-4 digits of n.
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3
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1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 3, 3, 2, 1, 2, 2, 3, 2, 2, 3, 3, 2, 3, 2, 2, 3, 2, 3, 3, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 3, 2, 3, 3, 3, 2, 1, 2
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OFFSET
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1,4
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COMMENTS
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Every positive integers occurs infinitely many times. See A297770 for a guide to related sequences.
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LINKS
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EXAMPLE
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123456 in base-4: 1,3,2,0,2,1,0,0,0; seven runs, of which 5 are distinct, so that a(123456) = 5.
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MATHEMATICA
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b = 4; s[n_] := Length[Union[Split[IntegerDigits[n, b]]]]
Table[s[n], {n, 1, 200}]
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CROSSREFS
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KEYWORD
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nonn,base,easy
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AUTHOR
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STATUS
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approved
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