A021519 Decimal expansion of 1/515.

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

Offset

0,4

Links

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

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

Formula

From Chai Wah Wu, Jan 28 2021: (Start)

a(n) = a(n-1) - a(n-17) + a(n-18) for n > 18.

G.f.: x^2*(-6*x^16 + 2*x^14 - 4*x^12 + 7*x^11 - 6*x^10 + 5*x^9 - 2*x^8 + 2*x^7 - 3*x^6 + 3*x^5 - 6*x^4 + 3*x^3 + 5*x^2 - 8*x - 1)/(x^18 - x^17 + x - 1). (End)

Maple

Digits := 100; evalf(1/515); # Wesley Ivan Hurt, Feb 03 2014

Mathematica

RealDigits[1/515, 10, 100, -1] (* Wesley Ivan Hurt, Feb 03 2014 *)
LinearRecurrence[{1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1}, {0, 0, 1, 9, 4, 1, 7, 4, 7, 5, 7, 2, 8, 1, 5, 5, 3, 3, 9}, 99] (* Robert P. P. McKone, Jan 28 2021 *)

Crossrefs

Sequence in context: A154837 A377480 A203125 * A199780 A292684 A330274

Adjacent sequences: A021516 A021517 A021518 * A021520 A021521 A021522

Keyword

nonn,cons

Author

N. J. A. Sloane

Status

approved