login
A357972
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 5, 3 and 5 segments, respectively.
6
24, 20, 23, 23, 22, 23, 23, 21, 25, 23, 20, 16, 19, 19, 18, 19, 19, 17, 21, 19, 23, 19, 22, 22, 21, 22, 22, 20, 24, 22, 23, 19, 22, 22, 21, 22, 22, 20, 24, 22, 22, 18, 21, 21, 20, 21, 21, 19, 23, 21, 23, 19, 22, 22, 21, 22, 22, 20, 24, 22, 20, 16, 19, 19, 18, 19, 19
OFFSET
0,1
COMMENTS
The sequence is periodic of period 1440 since the term a(1440) = a(0) = 24 corresponds to the time 00:00.
FORMULA
a(n) = A063720(A055643(n)) + 6*(4 - ceiling(log10(A055643(n) + 1))) for n > 0.
a(n) <= 26.
MATHEMATICA
a055643[n_]:=FromDigits@ Apply[Join, PadLeft[#, 2] & /@ IntegerDigits@ IntegerDigits[n, 60]]; a063720[n_] := Plus @@ (IntegerDigits@ n /. {0 -> 6, 1 -> 2, 2 -> 5, 3 -> 5, 6 -> 5, 7 -> 3, 8 -> 7, 9 -> 5}); a[n_]:=a063720[a055643[n]]+6(4-Ceiling[Log10[a055643[n]+1]]); Join[{24}, Array[a, 66]]
CROSSREFS
KEYWORD
nonn,base,easy
AUTHOR
Stefano Spezia, Oct 22 2022
STATUS
approved