A357971 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, 4 and 6 segments, respectively.

24, 20, 23, 23, 22, 23, 24, 22, 25, 24, 20, 16, 19, 19, 18, 19, 20, 18, 21, 20, 23, 19, 22, 22, 21, 22, 23, 21, 24, 23, 23, 19, 22, 22, 21, 22, 23, 21, 24, 23, 22, 18, 21, 21, 20, 21, 22, 20, 23, 22, 23, 19, 22, 22, 21, 22, 23, 21, 24, 23, 20, 16, 19, 19, 18, 19, 20

Offset: 0

Author

Stefano Spezia, Oct 22 2022

Keywords

• nonn
• base
• easy

Comments

The sequence is periodic of period 1440 since the term a(1440) = a(0) = 24 corresponds to the time 00:00.

Links

• Stefano Spezia, Table of n, a(n) for n = 0..1439 (first period of the sequence).
• Index entries for sequences related to calculator display

Crossrefs

Cf. A010371, A008588, A055642, A055643.

Variants: A357970, A357972, A357973, A357974.

Programs

Mathematica

a055643[n_]:=FromDigits@ Apply[Join, PadLeft[#, 2] & /@ IntegerDigits@ IntegerDigits[n, 60]]; a010371[n_] := Plus @@ (IntegerDigits@ n /. {0 -> 6, 1 -> 2, 2 -> 5, 3 -> 5, 7 -> 4, 8 -> 7, 9 -> 6}); a[n_]:=a010371[a055643[n]]+6(4-Ceiling[Log10[a055643[n]+1]]); Join[{24},Array[a,66]]

Formula

a(n) = A010371(A055643(n)) + 6*(4 - ceiling(log10(A055643(n) + 1))) for n > 0.

a(n) <= 26.