A021100 Decimal expansion of 1/96.

0, 1, 0, 4, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• cons
• easy

Comments

From Daniel Forgues, Oct 28 2011: (Start)

Generalization:

1/6 = Sum_{i>=0} 4^i/10^(i+1);

1/96 = Sum_{i>=0} 4^i/100^(i+1) (this sequence);

1/996 = Sum_{i>=0} 4^i/1000^(i+1);

1/9996 = Sum_{i>=0} 4^i/10000^(i+1); ... (End)

Examples

			0.0104166666666666666666666666666...
		

Links

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

Programs

Mathematica

Join[{0}, RealDigits[1/96, 10, 96][[1]]] (* Alonso del Arte, Apr 24 2018 *)

PARI

1/96. \\ Altug Alkan, Apr 24 2018

Formula

From Elmo R. Oliveira, Aug 05 2024: (Start)

G.f.: x*(1 - x + 4*x^2 - 3*x^3 + 5*x^4)/(1 - x).

a(n) = 6 for n > 4. (End)

E.g.f.: 6*(exp(x) - 1) - 5*x - 3*x^2 - x^3/3 - 5*x^4/24. - Stefano Spezia, Aug 06 2024