

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



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, 18, 33, 20, 17, 21, 17, 12, 33, 18, 20, 29, 17, 18, 35, 12, 17, 37, 17, 20, 31, 18, 17, 23, 26, 12
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OFFSET

1,1


LINKS

Reiner Moewald, Table of n, a(n) for n = 1..98


FORMULA

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


EXAMPLE

a(1)=5 since 111, 212, 515, 25125, 1251125.


PROG

(Python)
# for N < 100
import math
for N in range (1, 100):
ANZ = 0
for M in range(1, 195312500):
Z = int(str(int(N)) + str(int(M)))
if ((Z % M == 0) and (M % 10 > 0)):
ANZ = ANZ + 1
print(N, ANZ)


CROSSREFS

Cf. A066343.
Sequence in context: A328544 A041939 A177714 * A099641 A207189 A285404
Adjacent sequences: A273155 A273156 A273157 * A273159 A273160 A273161


KEYWORD

nonn,base


AUTHOR

Reiner Moewald, May 16 2016


STATUS

approved



