A021102 Decimal expansion of 1/98.

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

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• cons

Comments

Generalization:

1/8 = sum (2^i/10^(i+1)), i >= 0,

1/98 = sum (2^i/100^(i+1)), i >= 0, (this sequence)

1/998 = sum (2^i/1000^(i+1)), i >= 0,

1/9998 = sum (2^i/10000^(i+1)), i >= 0, ... - Daniel Forgues, Oct 28 2011

Links

• Mario Raso, Integer Sequences in Cryptography: A New Generalized Family and its Application, Ph. D. Thesis, Sapienza University of Rome (Italy 2025). See p. 9.
• 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,-1,1).

Crossrefs

Cf. A020821 (1/8), A022002 (1/998), A236799 (1/9998).

Programs

Mathematica

Join[{0},RealDigits[1/98,10,120][[1]]] (* Harvey P. Dale, May 29 2013 *)