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A357970
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a(n) is the number of segments used to represent the time of n minutes past midnight in the format hh:mm on a 7-segment calculator display; version where the digits '6', '7' and '9' use 6, 3 and 6 segments, respectively.
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6
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24, 20, 23, 23, 22, 23, 24, 21, 25, 24, 20, 16, 19, 19, 18, 19, 20, 17, 21, 20, 23, 19, 22, 22, 21, 22, 23, 20, 24, 23, 23, 19, 22, 22, 21, 22, 23, 20, 24, 23, 22, 18, 21, 21, 20, 21, 22, 19, 23, 22, 23, 19, 22, 22, 21, 22, 23, 20, 24, 23, 20, 16, 19, 19, 18, 19, 20
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OFFSET
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0,1
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COMMENTS
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The sequence is periodic of period 1440 since the term a(1440) = a(0) = 24 corresponds to the time 00:00.
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LINKS
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FORMULA
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a(n) <= 26.
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MATHEMATICA
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a055643[n_]:=FromDigits@ Apply[Join, PadLeft[#, 2] & /@ IntegerDigits@ IntegerDigits[n, 60]]; a006942[n_] := Plus @@ (IntegerDigits@ n /. {0 -> 6, 1 -> 2, 2 -> 5, 3 -> 5, 7 -> 3, 8 -> 7, 9 -> 6}); a[n_]:=a006942[a055643[n]]+6(4-Ceiling[Log10[a055643[n]+1]]); Join[{24}, Array[a, 66]]
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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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