cp's OEIS Frontend

A273158 Number of concatenations nm consisting of n followed by a positive integer m (not a multiple of 10) that are divisible by m.

%I A273158 #26 Jul 19 2016 09:11:32
%S A273158 5,6,12,8,8,14,14,9,21,9,14,17,16,17,19,11,16,25,16,11,32,17,16,20,11,
%T A273158 18,33,20,17,21,17,12,33,18,20,29,17,18,35,12,17,37,17,20,31,18,17,23,
%U A273158 26,12
%N A273158 Number of concatenations nm consisting of n followed by a positive integer m (not a multiple of 10) that are divisible by m.
%H A273158 Reiner Moewald, <a href="/A273158/b273158.txt">Table of n, a(n) for n = 1..98</a>
%F A273158 m <= n * 5^a(2 + floor(log_10(n))) with a(n) from A066343.
%e A273158 a(1)=5 since 1|11, 2|12, 5|15, 25|125, 125|1125.
%o A273158 (Python)
%o A273158 # for N < 100
%o A273158 import math
%o A273158 for N in range (1, 100):
%o A273158    ANZ = 0
%o A273158    for M in range(1, 195312500):
%o A273158       Z = int(str(int(N)) + str(int(M)))
%o A273158       if ((Z % M == 0) and (M % 10 > 0)):
%o A273158          ANZ = ANZ + 1
%o A273158    print(N, ANZ)
%Y A273158 Cf. A066343.
%K A273158 nonn,base
%O A273158 1,1
%A A273158 _Reiner Moewald_, May 16 2016