OFFSET
1,1
COMMENTS
If m is a term, 10*m is also a term, so terms with no trailing zeros are all primitive terms.
The numbers 165, 1515, 15015, 150015, ..., 15*(10^k + 1), k >= 1, are terms. - Marius A. Burtea, Apr 30 2022
LINKS
EXAMPLE
m = 45 is a term since 1/45 = 0.02222222222...
m = 165 is a term since 1/165 = 0.00606060606...
m = 34965 is a term since 1/34965 = 0.0000286000286000...
MATHEMATICA
f[n_] := Union[ Flatten[ RealDigits[ 1/n][[1]] ]]; Select[ Range@ 50000, ArrayQ[f@#, _, EvenQ] &]
PROG
(Python)
from itertools import count, islice
from sympy import multiplicity, n_order
def A353613_gen(startvalue=1): # generator of terms >= startvalue
for m in count(max(startvalue, 1)):
m2, m5 = multiplicity(2, m), multiplicity(5, m)
if set(str(10**(max(m2, m5)+n_order(10, m//2**m2//5**m5))//m)) <= {'0', '2', '4', '6', '8'}:
yield m
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Bernard Schott and Robert G. Wilson v, Apr 30 2022
STATUS
approved