

A074459


Number of segments which change from display of a number n to the next number n+1 on a 7segment display: version where '6', '7', '9' use 6, 4, resp. 5 segments.


2



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
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OFFSET

0,1


COMMENTS

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


LINKS

Table of n, a(n) for n=0..89.


FORMULA

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


EXAMPLE

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:
We consider the following 7segment 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)


PROG

(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


CROSSREFS

Cf. A074458.
Sequence in context: A255701 A085548 A329957 * A155793 A070593 A070599
Adjacent sequences: A074456 A074457 A074458 * A074460 A074461 A074462


KEYWORD

nonn,base


AUTHOR

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


EXTENSIONS

Edited and terms for n > 8 added by M. F. Hasler, Jun 23 2020


STATUS

approved



