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Write decimal digits for n, count endpoints (version 4).
4

%I #24 May 08 2022 12:34:57

%S 0,2,2,2,4,2,1,4,0,1,2,4,4,4,6,4,3,6,2,3,2,4,4,4,6,4,3,6,2,3,2,4,4,4,

%T 6,4,3,6,2,3,4,6,6,6,8,6,5,8,4,5,2,4,4,4,6,4,3,6,2,3,1,3,3,3,5,3,2,5,

%U 1,2,4,6,6,6,8,6,5,8,4,5,0

%N Write decimal digits for n, count endpoints (version 4).

%C Number of endpoints: 0,8 - zero, 6,9 - one, 1,2,3,5 - two, 4,7 - four. - _Michael B. Porter_, Oct 28 2017

%H Harvey P. Dale, <a href="/A027389/b027389.txt">Table of n, a(n) for n = 0..1000</a>

%H David A. Corneth, <a href="/A027389/a027389.jpg">Image of digits with their endpoints.</a>

%F a(10*n + d) = a(n) + e where e is the number of endpoints of single digit d. - _David A. Corneth_, Oct 28 2017

%e The digit 1 has two endpoints, and the digit 8 has no endpoints, so a(18) = 2. - _Michael B. Porter_, Oct 28 2017

%t Table[Total[IntegerDigits[n]/.{1->2,3->2,5->2,6->1,7->4,8->0,9->1}],{n,0,100}] (* _Harvey P. Dale_, May 08 2022 *)

%o (PARI) a(n)=vecsum(apply(d->[0, 2, 2, 2, 4, 2, 1, 4, 0, 1][d+1], digits(n))); \\ based on program for A027386 by _Andrew Howroyd_, _Michael B. Porter_, Oct 28 2017

%Y Cf. A027386, A027387, A027388, A055642, A100910, A102683, A268643.

%K nonn,base

%O 0,2

%A _N. J. A. Sloane_

%E a(6) corrected by _Michael B. Porter_, Oct 28 2017 (per _Andrew Howroyd_)

%E a(27) to a(80) by _Michael B. Porter_, Oct 28 2017