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 A010680 Decimal expansion of 1/11. 4
 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Period 2: repeat [0,9]. LINKS Table of n, a(n) for n=0..103. Index entries for linear recurrences with constant coefficients, signature (0,1). FORMULA a(n) = (9/2)*(1 - (-1)^n) = 9*(n mod 2). - Paolo P. Lava, Oct 31 2006 From Elmo R. Oliveira, Jan 15 2024: (Start) a(n) = a(n-2) for n >= 2. a(n) = 3 * A010674(n). G.f.: 9*x/(1-x^2). E.g.f.: 9*sinh(x). (End) a(n) = 9 * A000035(n). - Alois P. Heinz, Jan 16 2024 EXAMPLE 1/11 = 0.0909090909090909090909090909090909090909090909090909090909... MATHEMATICA RealDigits[1/11, 10, 100][[1]] (* Alonso del Arte, Mar 11 2018 *) PROG (PARI) a(n) = 9*(n%2); \\ Altug Alkan, Mar 25 2018 CROSSREFS Cf. A000035, A010674. Bisections give: A000004, A010734. Sequence in context: A343587 A021015 A372947 * A248724 A371649 A278144 Adjacent sequences: A010677 A010678 A010679 * A010681 A010682 A010683 KEYWORD nonn,easy,cons AUTHOR N. J. A. Sloane STATUS approved

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Last modified August 9 05:47 EDT 2024. Contains 375027 sequences. (Running on oeis4.)