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A257295 Arithmetic mean of the digits of n, rounded to the nearest integer. 2

%I #20 May 11 2015 18:45:28

%S 0,1,2,3,4,5,6,7,8,9,1,1,2,2,3,3,4,4,5,5,1,2,2,3,3,4,4,5,5,6,2,2,3,3,

%T 4,4,5,5,6,6,2,3,3,4,4,5,5,6,6,7,3,3,4,4,5,5,6,6,7,7,3,4,4,5,5,6,6,7,

%U 7,8,4,4,5,5,6,6,7,7,8,8,4,5,5,6,6,7,7,8,8,9,5,5,6,6,7,7,8,8,9,9,0,1,1,1,2,2,2,3

%N Arithmetic mean of the digits of n, rounded to the nearest integer.

%C Coincides up to a(99) with the variant A004427 (= arithmetic mean of digits, rounded up). - _M. F. Hasler_, May 10 2015

%C 0 <= a(n) <= 9. a(10*n + a(n)) = a(n). - _Robert Israel_, May 11 2015

%H <a href="/index/Coi#Colombian">Index entries for Colombian or self numbers and related sequences</a>

%F a(n) = round(A007953(n)/A055642(n)).

%F A004426(n) <= a(n) <= A004427(n).

%p f:= proc(n) local L;

%p L:= convert(n,base,10);

%p round(convert(L,`+`)/nops(L))

%p end proc:

%p map(f, [$0..100]); # _Robert Israel_, May 11 2015

%t Round[Mean[IntegerDigits[#]]]&/@Range[0,110]

%o (PARI) A257295(n)=round(sum(i=1, #n=digits(n), n[i])/#n) \\ ...Vecsmall(Str(n))...-48 is a little faster.

%o (PARI) a(n)=round(sumdigits(n)/#digits(n)) \\ _Charles R Greathouse IV_, May 11 2015

%Y Cf. A004426, A004427, A007953, A055642, A004428, A004429.

%K nonn,base,easy

%O 0,3

%A _M. F. Hasler_, May 10 2015

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Last modified April 23 23:26 EDT 2024. Contains 371917 sequences. (Running on oeis4.)