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A007450 Decimal expansion of 1/17.
(Formerly M3772)
6
0, 5, 8, 8, 2, 3, 5, 2, 9, 4, 1, 1, 7, 6, 4, 7, 0, 5, 8, 8, 2, 3, 5, 2, 9, 4, 1, 1, 7, 6, 4, 7, 0, 5, 8, 8, 2, 3, 5, 2, 9, 4, 1, 1, 7, 6, 4, 7, 0, 5, 8, 8, 2, 3, 5, 2, 9, 4, 1, 1, 7, 6, 4, 7, 0, 5, 8, 8, 2, 3, 5, 2, 9, 4, 1, 1, 7, 6, 4, 7, 0, 5, 8, 8, 2, 3, 5 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Period 16: repeat [0, 5, 8, 8, 2, 3, 5, 2, 9, 4, 1, 1, 7, 6, 4, 7]. - Joerg Arndt, Mar 25 2013

REFERENCES

H. Rademacher and O. Toeplitz, Von Zahlen und Figuren (Springer 1930, reprinted 1968), ch. 19, 'Die periodischen Dezimalbrueche'. [From Reinhard Zumkeller, Oct 06 2008]

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..5000

R. K. Hoeflin, Mega Test

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

FORMULA

From Reinhard Zumkeller, Oct 06 2008: (Start)

A028416(4)=17; A002371(A049084(17)) = A002371(7)=16;

a(n+16) = a(n), a(n+16/2) = 9 - a(n). (End)

G.f.: -x*(7*x^7-3*x^6+2*x^5+x^4-6*x^3+3*x+5)/((x-1)*(x^8+1)). - Colin Barker, Aug 15 2012

MATHEMATICA

CoefficientList[Series[-x (7 x^7 - 3 x^6 + 2 x^5 + x^4 - 6 x^3 + 3 x + 5)/((x - 1) (x^8+1)), {x, 0, 100}], x] (* Vincenzo Librandi, Mar 25 2013 *)

PROG

(MAGMA) I:=[0, 5, 8, 8, 2, 3, 5, 2, 9]; [n le 9 select I[n] else Self(n-1)-Self(n-8)+Self(n-9): n in [1..100]]; // Vincenzo Librandi, Mar 25 2013

(PARI) a(n)=[0, 5, 8, 8, 2, 3, 5, 2, 9, 4, 1, 1, 7, 6, 4, 7][n%16+1]; /* Joerg Arndt, Mar 25 2013 */

CROSSREFS

Sequence in context: A259234 A131040 A231786 * A303816 A200297 A155735

Adjacent sequences:  A007447 A007448 A007449 * A007451 A007452 A007453

KEYWORD

cons,nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified August 18 20:02 EDT 2019. Contains 326109 sequences. (Running on oeis4.)