A021710 Decimal expansion of 1/706.

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

Offset

0,4

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,-1,1).

Formula

From Chai Wah Wu, Apr 22 2024: (Start)

a(n) = a(n-1) - a(n-16) + a(n-17) for n > 17.

G.f.: x^2*(-5*x^15 + 4*x^14 - 8*x^13 + 9*x^11 - 5*x^10 + 5*x^9 - 4*x^8 - 5*x^7 + 3*x^6 + x^5 + 2*x^4 - 5*x^3 + 3*x^2 - 3*x - 1)/((x - 1)*(x^16 + 1)). (End)

Mathematica

Join[{0, 0}, RealDigits[1/706, 10, 120][[1]]] (* or *) PadRight[{0}, 120, {5, 0, 1, 4, 1, 6, 4, 3, 0, 5, 9, 4, 9, 0, 0, 8, 4, 9, 8, 5, 8, 3, 5, 6, 9, 4, 0, 5, 0, 9, 9, 1}] (* Harvey P. Dale, Dec 07 2019 *)

Crossrefs

Sequence in context: A348853 A349238 A249074 * A127555 A192085 A117001

Adjacent sequences: A021707 A021708 A021709 * A021711 A021712 A021713

Keyword

nonn,cons,easy

Author

N. J. A. Sloane

Status

approved