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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. 2

%I #12 Jul 20 2020 01:58:52

%S 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,

%T 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,

%U 2,7,4,5,2,3,3,1,4,3,2,6,4,5,2,3,3,1,4,3,2,5

%N 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.

%C The glyph variants used here are the same as in A074458 (other variants are described in A006942, A010371, A063720 and A277116). - _M. F. Hasler_, Jun 17 2020

%F For n % 10 < 9, a(n) = a(n % 9), where % is the modulo (remainder) operator. - _M. F. Hasler_, Jun 23 2020

%e Consider the representations of digits '0', '1' and '2' given below.

%e 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.

%e From _M. F. Hasler_, Jun 23 2020:

%e We consider the following 7-segment representations of the digits 0 - 9:

%e _ _ _ _ _ _ _ _

%e | | | _| _| |_| |_ |_ | | |_| |_|

%e |_| | |_ _| | _| |_| | |_| | .

%e 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.

%e To switch from 19 to 20 one has a(19) = a(1) + 3 = 8. (End)

%o (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

%Y Cf. A074458.

%K nonn,base

%O 0,1

%A Y. Kelly Itakura (yitkr(AT)mta.ca), Aug 22 2002

%E Edited and terms for n > 8 added by _M. F. Hasler_, Jun 23 2020

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