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 A021893 Decimal expansion of 1/889. 0
 0, 0, 1, 1, 2, 4, 8, 5, 9, 3, 9, 2, 5, 7, 5, 9, 2, 8, 0, 0, 8, 9, 9, 8, 8, 7, 5, 1, 4, 0, 6, 0, 7, 4, 2, 4, 0, 7, 1, 9, 9, 1, 0, 0, 1, 1, 2, 4, 8, 5, 9, 3, 9, 2, 5, 7, 5, 9, 2, 8, 0, 0, 8, 9, 9, 8, 8, 7, 5, 1, 4, 0, 6, 0, 7, 4, 2, 4, 0, 7, 1, 9, 9, 1, 0, 0, 1, 1, 2, 4, 8, 5, 9, 3, 9, 2, 5, 7, 5 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS Sum_{i=0}^{infty} [tribonacci(i) / 10^(i+1)]. Generalization: [since tribonacci(i+3) =   tribonacci(i+2) + tribonacci(i+1) + tribonacci(i)]   1/889 = Sum_{i=0}^{infty} [tribonacci(i) / 10^(i+1)], (this sequence)   1/989899 = Sum_{i=0}^{infty} [tribonacci(i) / 100^(i+1)],   1/998998999 = Sum_{i=0}^{infty} [tribonacci(i) / 1000^(i+1)],   1/999899989999 = Sum_{i=0}^{infty} [tribonacci(i) / 10000^(i+1)],   ...   1 / [(10^k)^3 - (10^k)^2 - (10^k)^1 - (10^k)^0] = 1 / [10^(3k) - 10^(2k) - 10^k - 1] = Sum_{i=0}^{infty} [tribonacci(i) / (10^k)^{i+1}], k >= 1. - Daniel Forgues, May 04 2013 Sum_{i=0}^{infty} [111^i / 1000^(i+1)]. Generalization: [since 111^(i+1) = 111 * 111^(i)] 1/889 = Sum_{i=0}^{infty} [111^i / 1000^(i+1)], (this sequence) 1/9889 = Sum_{i=0}^{infty} [111^i / 10000^(i+1)], 1/99889 = Sum_{i=0}^{infty} [111^i / 100000^(i+1)], 1/999889 = Sum_{i=0}^{infty} [111^i / 1000000^(i+1)], ... 1 / [(10^k)^1 - 111 (10^k)^0] = 1 / [10^k - 111] =   Sum_{i=0}^{infty} [111^i / (10^k)^(i+1)], k >= 3. - Daniel Forgues, May 04 2013 LINKS Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1). FORMULA From Chai Wah Wu, Feb 03 2021: (Start) a(n) = a(n-1) - a(n-21) + a(n-22) for n > 21. G.f.: (-x^21 - 8*x^20 + 8*x^18 - 6*x^17 + 7*x^16 - 4*x^15 + 2*x^14 - 2*x^13 - 3*x^12 + 7*x^11 - 6*x^10 + 6*x^9 - 4*x^8 + 3*x^7 - 4*x^6 - 2*x^5 - x^4 - x^2)/(x^22 - x^21 + x - 1). (End) MATHEMATICA Join[{0, 0}, RealDigits[1/889, 10, 120][[1]]] (* or *) PadRight[{}, 120, {0, 0, 1, 1, 2, 4, 8, 5, 9, 3, 9, 2, 5, 7, 5, 9, 2, 8, 0, 0, 8, 9, 9, 8, 8, 7, 5, 1, 4, 0, 6, 0, 7, 4, 2, 4, 0, 7, 1, 9, 9, 1}] (* Harvey P. Dale, Dec 02 2018 *) CROSSREFS Cf. A000073. Sequence in context: A165669 A227818 A300890 * A036117 A307357 A116624 Adjacent sequences:  A021890 A021891 A021892 * A021894 A021895 A021896 KEYWORD nonn,cons AUTHOR STATUS approved

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Last modified April 22 07:26 EDT 2021. Contains 343163 sequences. (Running on oeis4.)