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

1,2

Comments

Equivalently, a(n) is the period of the decimal expansion of the reciprocals of the corresponding primes in the records of A060370, that is, of the primes that set a record for the ratio between them and the period of its reciprocal.

Links

Table of n, a(n) for n=1..37.

Example

a(5) = 7 because the 5th term of A243110 is 239 and 1/239 = 0.0041841... which has a period of 7.

Prog

(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)

Crossrefs

Cf. A060370, A243110.

Sequence in context: A342621 A273014 A336321 * A072275 A122989 A222246

Adjacent sequences: A359443 A359444 A359445 * A359447 A359448 A359449

Keyword

nonn,base,more

Author

Pedro K. Krause, Jan 01 2023

Status

approved