A060370 -id:A060370 - cp's OEIS frontend

A076517 Partial sums of A060370 (cf. A006556).

1, 6, 8, 9, 10, 11, 12, 14, 26, 34, 36, 37, 41, 42, 43, 45, 47, 56, 62, 64, 66, 67, 92, 95, 97, 98, 99, 102, 103, 120, 123, 124, 126, 128, 130, 131, 135, 136, 137, 139, 140, 142, 144, 151, 152, 154, 155, 156, 190, 198, 203, 204, 205, 206, 260, 264, 274, 276, 278

Offset: 1

Benoit Cloitre, Nov 09 2002

nonn

a(n) seems to be asymptotic to c*n*log(n) with 0.5 < c < 1

A359446 a(n) is the period of the decimal expansion of 1/A243110(n).

Original entry on oeis.org

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

Pedro K. Krause, Jan 01 2023

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.

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

Cf. A060370, A243110.

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)

cp's OEIS Frontend

A076517 Partial sums of A060370 (cf. A006556).

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A359446 a(n) is the period of the decimal expansion of 1/A243110(n).

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