A021040 Decimal expansion of 1/36.

0, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7

Offset

0,2

References

Konrad Knopp, Theory and application of infinite series, Blackie & Son Limited, London and Glasgow, 1954. See exercise 107 at page 268.

Links

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

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

Formula

From Elmo R. Oliveira, Oct 11 2025: (Start)

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

E.g.f.: 7*(exp(x) - 1) - 5*x. (End)

Equals Sum_{k>=0} 1/((2*k + 1)*(2*k + 2)*(2*k + 4)*(2*k + 5)) [Knopp]. - Stefano Spezia, Feb 01 2026

Example

0.0277777777777777777777777777777777777777777777777777777777777777777777777777...

Mathematica

Join[{0}, RealDigits[1/36, 10, 120][[1]]] (* or *) PadRight[{0, 2}, 120, {7}] (* Harvey P. Dale, Jul 14 2017 *)

Prog

(PARI) 1./36

Crossrefs

Cf. A010727.

Sequence in context: A244976 A248675 A068386 * A246553 A330479 A387607

Adjacent sequences: A021037 A021038 A021039 * A021041 A021042 A021043

Keyword

nonn,cons,easy

Author

N. J. A. Sloane

Status

approved