A350131 Number of segments lit to display the number n on a 9-segment display used by the Russian postal service.
6, 3, 4, 4, 4, 5, 5, 3, 7, 5, 9, 6, 7, 7, 7, 8, 8, 6, 10, 8, 10, 7, 8, 8, 8, 9, 9, 7, 11, 9, 10, 7, 8, 8, 8, 9, 9, 7, 11, 9, 10, 7, 8, 8, 8, 9, 9, 7, 11, 9, 11, 8, 9, 9, 9, 10, 10, 8, 12, 10, 11, 8, 9, 9, 9, 10, 10, 8, 12, 10, 9, 6, 7, 7, 7, 8, 8, 6, 10, 8
Offset: 0
Examples
The Russian postal service uses a special template for entering postal codes, which makes automatic sorting of their parcels faster. It has nine segments, and digits looks like this (please check the first link in the Links section for a more readable, graphical example):
._ _ _ _ _ _ _
| | /| | /_ |_| |_ /_ / |_| |_|
|_| | /_ / | _| |_| | |_| /
The template for a single digit contains nine segments: four vertical, three horizontal and two diagonal:
Vertical Horizontal Diagonal
_
| | _ /
| | _ /
Using a combination of vertical, horizontal and/or diagonal segments, it is possible to create digits:
.
number of segments
=====================================
digit total vertical horizontal diagonal
----- ----- -------- ---------- --------
0 6 4 2 0
1 3 2 0 1
2 4 1 2 1
3 4 0 2 2
4 4 3 1 0
5 5 2 3 0
6 5 2 2 1
7 3 1 1 1
8 7 4 3 0
9 5 2 2 1
Links
- Bartlomiej Malarz, Table of n, a(n) for n = 0..99999
- Wikipedia, Postal code template.
- Wikipedia, Postal codes in Russia.
Programs
-
Mathematica
Table[Total[IntegerDigits[n]/.{0->6, 1->3, 2->4, 3->4, 6->5, 7->3, 8->7, 9->5}], {n, 0, 79}] (* Stefano Spezia, Dec 17 2021 *) -
PHP
$segments[$n], str_split($i))); echo $usedSegments . "\n"; } // Simplified by Bartlomiej Malarz, Oct 30 2024 -
Python
segments = [6, 3, 4, 4, 4, 5, 5, 3, 7, 5] def a(n): return sum(segments[int(d)] for d in str(n)) print([a(n) for n in range(80)]) # Michael S. Branicky, Dec 22 2021