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 A047563 Numbers that are congruent to {0, 3, 4, 5, 6, 7} mod 8. 1
 0, 3, 4, 5, 6, 7, 8, 11, 12, 13, 14, 15, 16, 19, 20, 21, 22, 23, 24, 27, 28, 29, 30, 31, 32, 35, 36, 37, 38, 39, 40, 43, 44, 45, 46, 47, 48, 51, 52, 53, 54, 55, 56, 59, 60, 61, 62, 63, 64, 67, 68, 69, 70, 71, 72, 75, 76, 77, 78, 79, 80, 83, 84, 85, 86, 87 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS G. C. Greubel, Table of n, a(n) for n = 1..1000 Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,1,-1). FORMULA a(n) = (1/9)*{13*(n mod 6)+[(n+1) mod 6]+[(n+2) mod 6]+[(n+3) mod 6]+[(n+4) mod 6]-2*[(n+5) mod 6]} + 8*A054895, with n>=0. - Paolo P. Lava, Nov 05 2007 From Chai Wah Wu, May 29 2016: (Start) a(n) = a(n-1) + a(n-6) - a(n-7) for n>7. G.f.: x^2*(x^5 + x^4 + x^3 + x^2 + x + 3)/(x^7 - x^6 - x + 1). (End) From Wesley Ivan Hurt, Jun 16 2016: (Start) a(n) = (24*n-9+3*cos(n*Pi)-12*cos(n*Pi/3)-4*sqrt(3)*sin(2*n*Pi/3))/18. a(6k) = 8k-1, a(6k-1) = 8k-2, a(6k-2) = 8k-3, a(6k-3) = 8k-4, a(6k-4) = 8k-5, a(6k-5) = 8k-8. (End) MAPLE A047563:=n->(24*n-9+3*cos(n*Pi)-12*cos(n*Pi/3)-4*sqrt(3)*sin(2*n*Pi/3))/18: seq(A047563(n), n=1..100); # Wesley Ivan Hurt, Jun 16 2016 MATHEMATICA LinearRecurrence[{1, 0, 0, 0, 0, 1, -1}, {0, 3, 4, 5, 6, 7, 8}, 50] (* G. C. Greubel, May 29 2016 *) PROG (MAGMA) [n : n in [0..100] | n mod 8 in [0] cat [3..7]]; // Wesley Ivan Hurt, May 29 2016 CROSSREFS Cf. A054895. Sequence in context: A001272 A273664 A332416 * A261604 A120561 A051016 Adjacent sequences:  A047560 A047561 A047562 * A047564 A047565 A047566 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified May 26 14:39 EDT 2020. Contains 334626 sequences. (Running on oeis4.)