A021420 Decimal expansion of 1/416.

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

Offset

0,3

Comments

Period 6: after 0.00240, 384615 repeats endlessly. - Alonso del Arte, Apr 26 2018

Links

Table of n, a(n) for n=0..98.

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

Formula

From Chai Wah Wu, Sep 04 2025: (Start)

a(n) = a(n-1) - a(n-3) + a(n-4) for n > 8.

G.f.: x^2*(-5*x^6 + 8*x^5 - 7*x^4 - 5*x^3 + 4*x^2 - 2*x - 2)/(x^4 - x^3 + x - 1). (End)

Example

0.002403846153846153846153846...

Mathematica

Join[{0, 0}, RealDigits[1/416, 10, 104][[1]]] (* Alonso del Arte, Apr 26 2018 *)
PadRight[{0, 0, 2, 4, 0}, 120, {8, 4, 6, 1, 5, 3}] (* Harvey P. Dale, May 25 2018 *)

Crossrefs

Cf. A021212 (1/208).

Sequence in context: A004568 A079904 A175630 * A330473 A198543 A367468

Adjacent sequences: A021417 A021418 A021419 * A021421 A021422 A021423

Keyword

nonn,cons,easy

Author

N. J. A. Sloane

Status

approved