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A273158 Number of concatenations nm consisting of n followed by a positive integer m (not a multiple of 10) that are divisible by m. 1

%I #26 Jul 19 2016 09:11:32

%S 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 18,33,20,17,21,17,12,33,18,20,29,17,18,35,12,17,37,17,20,31,18,17,23,

%U 26,12

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

%H Reiner Moewald, <a href="/A273158/b273158.txt">Table of n, a(n) for n = 1..98</a>

%F m <= n * 5^a(2 + floor(log_10(n))) with a(n) from A066343.

%e a(1)=5 since 1|11, 2|12, 5|15, 25|125, 125|1125.

%o (Python)

%o # for N < 100

%o import math

%o for N in range (1, 100):

%o ANZ = 0

%o for M in range(1, 195312500):

%o Z = int(str(int(N)) + str(int(M)))

%o if ((Z % M == 0) and (M % 10 > 0)):

%o ANZ = ANZ + 1

%o print(N, ANZ)

%Y Cf. A066343.

%K nonn,base

%O 1,1

%A _Reiner Moewald_, May 16 2016

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)