A359446 a(n) is the period of the decimal expansion of 1/A243110(n).
1, 2, 3, 4, 7, 5, 21, 29, 20, 22, 7, 10, 11, 18, 35, 51, 45, 61, 9, 11, 14, 17, 15, 16, 21, 47, 51, 54, 55, 24, 28, 37, 13, 44, 44, 26, 17
Offset: 1
Examples
a(5) = 7 because the 5th term of A243110 is 239 and 1/239 = 0.0041841... which has a period of 7.
Programs
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Python
from sympy import n_order, nextprime p = 3 best = 0 while True: if p!=5: period = n_order(10,p) k = (p-1)//period if k > best: best = k print(period, end=',') p = nextprime(p)
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