A384627 Decimal expansion of 1/998001.

0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 3, 0, 0, 4, 0, 0, 5, 0, 0, 6, 0, 0, 7, 0, 0, 8, 0, 0, 9, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 3, 0, 1, 4, 0, 1, 5, 0, 1, 6, 0, 1, 7, 0, 1, 8, 0, 1, 9, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 3, 0, 2, 4, 0, 2, 5, 0, 2, 6, 0, 2, 7, 0, 2, 8, 0, 2, 9

Offset

0,9

Comments

The decimals of this constant contain every 3-digit number, from 000 to 999, in order, except for 998.

Periodic with period 2997.

Links

Paolo Xausa, Table of n, a(n) for n = 0..10000

Brady Haran and James Grime, 998,001 and its Mysterious Recurring Decimals, YouTube Numberphile video, 2012.

Formula

Equals 1/(999^2).

Example

0.0000010020030040050060070080090100110120130140150160170...

Mathematica

First[RealDigits[1/999^2, 10, 100, -1]]

Crossrefs

Cf. A021085, A034948.

Sequence in context: A233440 A280728 A175676 * A392675 A390158 A035377

Adjacent sequences: A384624 A384625 A384626 * A384628 A384629 A384630

Keyword

nonn,cons,easy

Author

Paolo Xausa, Jun 05 2025

Status

approved