A021026 Decimal expansion of 1/22.

0, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5

Offset

0,2

Links

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

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

Formula

G.f.: x*(4+5*x)/(1-x^2). - Jaume Oliver Lafont, Mar 20 2009

From Rayhan Ahmed, May 30 2026: (Start)

a(n) = (9+(-1)^n)*(1-0^n)/2.

a(n) = 5 - A000035(n) for n >= 1.

a(n) = A010710(n-1) for n >= 1. (End)

E.g.f.: 5*(cosh(x) - 1) + 4*sinh(x). - Stefano Spezia, Jun 09 2026

Mathematica

Join[{0}, RealDigits[1/22, 10, 120][[1]]] (* Harvey P. Dale, Apr 29 2011 *)
(* Alternative: *)
CoefficientList[ Series[ x (4+5x)/(1-x^2), {x, 0, 120}], x] (* Harvey P. Dale, Apr 29 2011 *)

Crossrefs

Cf. A000035, A010710.

Sequence in context: A063694 A242624 A068901 * A010710 A126128 A046565

Adjacent sequences: A021023 A021024 A021025 * A021027 A021028 A021029

Keyword

nonn,cons,easy

Author

N. J. A. Sloane

Status

approved