A021160 Decimal expansion of 1/156.

0, 0, 6, 4, 1, 0, 2, 5, 6, 4, 1, 0, 2, 5, 6, 4, 1, 0, 2, 5, 6, 4, 1, 0, 2, 5, 6, 4, 1, 0, 2, 5, 6, 4, 1, 0, 2, 5, 6, 4, 1, 0, 2, 5, 6, 4, 1, 0, 2, 5, 6, 4, 1, 0, 2, 5, 6, 4, 1, 0, 2, 5, 6, 4, 1, 0, 2, 5, 6, 4, 1, 0, 2, 5, 6, 4, 1, 0, 2, 5, 6, 4, 1, 0, 2, 5, 6, 4, 1, 0, 2, 5, 6, 4, 1, 0, 2, 5, 6

Offset

0,3

Links

Colin Barker, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (2,-2,1).

Formula

The period is just 6: after 0.00, 641025 repeated endlessly. - Alonso del Arte, Apr 18 2018

From Colin Barker, Apr 19 2018: (Start)

G.f.: x^2*(6 - 8*x + 5*x^2) / ((1 - x)*(1 - x + x^2)).

a(n) = 2*a(n-1) - 2*a(n-2) + a(n-3) for n>4. (End)

Example

0.00641025641025641025641025641...

Mathematica

PadRight[{0, 0}, 100, {2, 5, 6, 4, 1, 0}] (* or *) Join[{0, 0}, RealDigits[1/156, 10, 100][[1]]] (* Harvey P. Dale, May 13 2012 *)

Prog

(PARI) 1/156. \\ Altug Alkan, Apr 18 2018
(PARI) concat(vector(2), Vec(x^2*(6 - 8*x + 5*x^2) / ((1 - x)*(1 - x + x^2)) + O(x^60))) \\ Colin Barker, Apr 19 2018

Crossrefs

Cf. A021043 (1/39).

Sequence in context: A368831 A158567 A215832 * A354887 A357016 A060780

Adjacent sequences: A021157 A021158 A021159 * A021161 A021162 A021163

Keyword

nonn,cons,easy

Author

N. J. A. Sloane

Status

approved