A021309 Decimal expansion of 1/305.

0, 0, 3, 2, 7, 8, 6, 8, 8, 5, 2, 4, 5, 9, 0, 1, 6, 3, 9, 3, 4, 4, 2, 6, 2, 2, 9, 5, 0, 8, 1, 9, 6, 7, 2, 1, 3, 1, 1, 4, 7, 5, 4, 0, 9, 8, 3, 6, 0, 6, 5, 5, 7, 3, 7, 7, 0, 4, 9, 1, 8, 0, 3, 2, 7, 8, 6, 8, 8, 5, 2, 4, 5, 9, 0, 1, 6, 3, 9, 3, 4, 4, 2, 6, 2, 2, 9, 5, 0, 8, 1, 9, 6, 7, 2, 1, 3, 1, 1

Offset

0,3

Links

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

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

Formula

From Chai Wah Wu, Apr 18 2024: (Start)

a(n) = a(n-1) - a(n-30) + a(n-31) for n > 31.

G.f.: x^2*(-8*x^29 + 7*x^28 - 8*x^27 + 5*x^26 + 4*x^25 - 7*x^24 + 4*x^22 - 4*x^21 + 2*x^20 - x^18 + 6*x^17 - 6*x^16 + 3*x^15 - 5*x^14 - x^13 + 9*x^12 - 4*x^11 - x^10 - 2*x^9 + 3*x^8 + 3*x^7 - 2*x^5 + 2*x^4 - x^3 - 5*x^2 + x - 3)/(x^31 - x^30 + x - 1). (End)

Example

0.0032786885245901639344262295081967213114754...

Mathematica

Join[{0, 0}, RealDigits[1/305, 10, 120][[1]]] (* Harvey P. Dale, Jun 22 2013 *)

Crossrefs

Cf. A021065.

Sequence in context: A130398 A073296 A073293 * A245581 A054170 A106167

Adjacent sequences: A021306 A021307 A021308 * A021310 A021311 A021312

Keyword

nonn,cons,easy,changed

Author

N. J. A. Sloane.

Status

approved