A074459 Number of segments which change from display of a number n to the next number n+1 on a 7-segment display: version where '6', '7', '9' use 6, 4, resp. 5 segments.
4, 5, 2, 3, 3, 1, 4, 3, 2, 5, 4, 5, 2, 3, 3, 1, 4, 3, 2, 8, 4, 5, 2, 3, 3, 1, 4, 3, 2, 5, 4, 5, 2, 3, 3, 1, 4, 3, 2, 6, 4, 5, 2, 3, 3, 1, 4, 3, 2, 6, 4, 5, 2, 3, 3, 1, 4, 3, 2, 4, 4, 5, 2, 3, 3, 1, 4, 3, 2, 7, 4, 5, 2, 3, 3, 1, 4, 3, 2, 6, 4, 5, 2, 3, 3, 1, 4, 3, 2, 5
Offset: 0
Examples
Consider the representations of digits '0', '1' and '2' given below. To change from 0 to 1, we need to delete 4 segments, from 1 to 2, we need to delete 1 segment and add 4 segments, so 5 segments in total are needed to be changed. From _M. F. Hasler_, Jun 23 2020: (Start) We consider the following 7-segment representations of the digits 0 - 9: _ _ _ _ _ _ _ _ | | | _| _| |_| |_ |_ | | |_| |_| |_| | |_ _| | _| |_| | |_| | . To switch from displaying number 9 to displaying number 10, one has to activate 2 segments for the additional digit '1', and change 3 segments from the representation of '9' to get that of '0', whence a(9) = 2 + 3 = 5. To switch from 19 to 20 one has a(19) = a(1) + 3 = 8. (End)
Crossrefs
Cf. A074458.
Programs
-
PARI
apply( {A074459(n)=if(n%10<9,digits(452331432)[n%10+1],n>9,3+self()(n\10),5)}, [0..99]) \\ M. F. Hasler, Jun 23 2020
Formula
For n % 10 < 9, a(n) = a(n % 9), where % is the modulo (remainder) operator. - M. F. Hasler, Jun 23 2020
Extensions
Edited and terms for n > 8 added by M. F. Hasler, Jun 23 2020
Comments