A022001 Decimal expansion of 1/997.

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

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• cons
• easy

Comments

Generalization:

1/7 = sum (3^i/10^(i+1)), i >= 0,

1/97 = sum (3^i/100^(i+1)), i >= 0,

1/997 = sum (3^i/1000^(i+1)), i >= 0, (this sequence)

1/9997 = sum (3^i/10000^(i+1)), i >= 0, ... - Daniel Forgues, Oct 28 2011

Periodic with period length 166. - Ray Chandler, Jan 09 2025

Links

• Index entries for linear recurrences with constant coefficients, signature (1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1).

Programs

Mathematica

Join[{0,0},RealDigits[1/997,10,120][[1]]] (* Harvey P. Dale, Jul 28 2023 *)

PARI

1/997. \\ Charles R Greathouse IV, Apr 02 2014