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A083903 Number of divisors of n with largest digit <= 8 (base 10). 4

%I #12 Jan 04 2024 01:49:42

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

%T 4,8,2,3,3,8,2,8,2,6,5,4,2,10,2,6,4,6,2,7,4,8,3,3,1,12,2,4,5,7,4,8,2,

%U 6,3,8,2,11,2,4,6,5,4,7,1,10,4,4,2,12,4,4,3,8,1,10,3,5,3,3,2,11,1,4,4,9,2,8

%N Number of divisors of n with largest digit <= 8 (base 10).

%H Harvey P. Dale, <a href="/A083903/b083903.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) = A083902(n) + A083895(n) = A000005(n) - A083896(n).

%F Asymptotic mean: Limit_{m->oo} (1/m) * Sum_{k=1..m} a(k) = Sum_{k>=1} 1/A007095(k) = 22.920676... (A082838). - _Amiram Eldar_, Jan 04 2024

%t Table[Length[DeleteCases[Divisors[n],_?(Max[IntegerDigits[#]]==9&)]],{n,110}] (* _Harvey P. Dale_, Nov 21 2015 *)

%Y Cf. A054055, A000005, A007095, A082838, A083895, A083896, A083902.

%K nonn,base

%O 1,2

%A _Reinhard Zumkeller_, May 08 2003

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Last modified April 24 07:01 EDT 2024. Contains 371920 sequences. (Running on oeis4.)