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A021213 Decimal expansion of 1/209. 0
0, 0, 4, 7, 8, 4, 6, 8, 8, 9, 9, 5, 2, 1, 5, 3, 1, 1, 0, 0, 4, 7, 8, 4, 6, 8, 8, 9, 9, 5, 2, 1, 5, 3, 1, 1, 0, 0, 4, 7, 8, 4, 6, 8, 8, 9, 9, 5, 2, 1, 5, 3, 1, 1, 0, 0, 4, 7, 8, 4, 6, 8, 8, 9, 9, 5, 2, 1, 5, 3, 1, 1, 0, 0, 4, 7, 8, 4, 6, 8, 8, 9, 9, 5, 2, 1, 5, 3, 1, 1, 0, 0, 4, 7, 8, 4, 6, 8, 8 (list; constant; graph; refs; listen; history; text; internal format)
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,-1,1).

FORMULA

a(n)=(1/306)*{26*(n mod 18)+9*[(n+1) mod 18]+43*[(n+2) mod 18]+43*[(n+3) mod 18]-59*[(n+4) mod 18]+26*[(n+5) mod 18]+60*[(n+6) mod 18]+77*[(n+7) mod 18]+9*[(n+8) mod 18]-8*[(n+9) mod 18]+9*[(n+10) mod 18]-25*[(n+11) mod 18]-25*[(n+12) mod 18]+77*[(n+13) mod 18]-8*[(n+14) mod 18]-42*[(n+15) mod 18]-59*[(n+16) mod 18]+9*[(n+17) mod 18]}, with n>=0 [From Paolo P. Lava, Sep 25 2009]

From Chai Wah Wu, Mar 11 2021: (Start)

a(n) = a(n-1) - a(n-9) + a(n-10) for n > 9.

G.f.: x^2*(-x^7 - 2*x^5 - 2*x^4 + 4*x^3 - x^2 - 3*x - 4)/(x^10 - x^9 + x - 1). (End)

MATHEMATICA

Join[{0, 0}, RealDigits[1/209, 10, 120][[1]]] (* Harvey P. Dale, Aug 20 2014 *)

CROSSREFS

Sequence in context: A318383 A151958 A176778 * A154687 A115021 A200367

Adjacent sequences:  A021210 A021211 A021212 * A021214 A021215 A021216

KEYWORD

nonn,cons

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified May 11 21:35 EDT 2021. Contains 343808 sequences. (Running on oeis4.)