A270392 - OEIS

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A270392

The sum of the digits in the periodic part of the decimal expansion of 1/n.

0, 0, 3, 0, 0, 6, 27, 0, 1, 0, 9, 3, 27, 27, 6, 0, 72, 5, 81, 0, 27, 9, 99, 6, 0, 27, 10, 27, 126, 3, 54, 0, 3, 72, 27, 7, 9, 81, 18, 0, 18, 27, 90, 9, 2, 99, 207, 3, 189, 0, 69, 27, 63, 14, 9, 27, 81, 126, 261, 6, 270, 54, 24, 0, 27, 6, 144, 72, 96, 27, 126, 8, 36, 9, 3, 81, 27, 18, 54, 0, 37, 18, 171, 27, 72, 99, 123, 9

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

COMMENTS

It appears that all nonzero terms in this sequence are divisible by 3 unless n is divisible by 9.

LINKS

Table of n, a(n) for n=1..88.

FORMULA

a(n) = A007953(A036275(n)).

EXAMPLE

1/7 = 0.142857142857142857... and digit-cycle is 142857, the sum of these integers is 27 so a(7)=27.

MATHEMATICA