A021101 Decimal expansion of 1/97.

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

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• cons
• easy

Comments

From Daniel Forgues, Oct 28 2011: (Start)

Generalization:

1/7 = Sum_{i>=0} 3^i/10^(i+1) (A020806)

1/97 = Sum_{i>=0} 3^i/100^(i+1) (this sequence);

1/997 = Sum_{i>=0} 3^i/1000^(i+1) (A022001);

1/9997 = Sum_{i>=0} 3^i/1000^(i+1); ... (End)

Examples

			0.0103092783505154639175257731...
		

References

• Albert H. Beiler, Recreations in the theory of numbers, New York, Dover, (2nd ed.) 1966. See p. 77.

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,-1,1).

Crossrefs

Cf. A020806, A022001.

Programs

Magma

[0] cat Reverse(Intseq(Floor(10^100/97))); // Vincenzo Librandi, Jan 04 2025

Mathematica

First@ RealDigits[1/97, 10, 100, -1] (* Vincenzo Librandi, Jan 04 2025 *)

PARI

localprec(98); 1/97. \\ Michel Marcus, Dec 31 2024