This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A338111 #26 Jul 09 2025 04:54:20
%S A338111 111,117,711,114,141,411,717,1111,112,113,115,121,131,147,151,211,311,
%T A338111 417,511,714,741,1117,101,110,116,119,127,137,144,157,217,317,414,441,
%U A338111 517,611,712,713,715,721,731,747,751,911,1114,1141,107,118,124,134,142
%N A338111 Times displayed on an hour|minute 12-hour 7-segment digital clock, arranged in order of increasing brightness (see Comments).
%C A338111 Consider a 12-hour digital clock with 4 digits, each of which comprises 7 facets (or segments or lights). The terms of the sequence list the times of day starting with the dimmest overall display, i.e., when the fewest total facets are lit up, to the brightest overall display, i.e., when the most total facets are lit up.The terms are sorted by dimness/brightness and then by smallest-to-largest number.
%C A338111 If the digits are labeled A, B, C, D from left to right, digit A is completely dark from 1:00 until after 9:59, and then has 2 facets lit up from 10:00 through 12:59. Digits B and D will each display numbers from 0 to 9 and thus will have between 2 and 7 facets lit up. Digit C will display numbers from 0 to 5 and thus will have between 2 and 6 facets lit up.
%C A338111 The sequence displays each time of day without the customary colon separating hours from minutes, so for example 12:36 is displayed as 1236 and 9:14 is displayed as 914.
%C A338111 The dimmest display is for 1:11 (or 111) when 6 facets in total are lit up. The brightest display is for 10:08 (or 1008) when 21 facets are lit up. The sequence has 720 terms altogether.
%H A338111 Harvey P. Dale, <a href="/A338111/b338111.txt">Table of n, a(n) for n = 1..720</a>
%e A338111 111 is displayed with digit A dark and with 2 facets of each of digits B, C, and D lit up. Thus 111 has a total of 6 facets lit up. 1008 is displayed with 2 facets of digit A lit up, with 6 facets of digits B and C lit up, and with 7 facets of digit D lit up. Thus 1008 has a total of 21 facets lit up.
%t A338111 SortBy[{#,Total[IntegerDigits[#]/.{0->6,1->2,2->5,3->5,7->3,8->7,9->6}]}&/@ FromDigits/@Flatten[Table[Join[IntegerDigits[ h],PadLeft[ IntegerDigits[ m],2,0]],{h,12},{m,0,59}],1],{Last,First}][[All,1]]
%Y A338111 Cf. A006942, A038619, A063720, A074458, A123587, A277116, A234691, A234692.
%K A338111 nonn,fini,full,base
%O A338111 1,1
%A A338111 _Harvey P. Dale_, Oct 10 2020