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 A047622 Numbers that are congruent to {0, 3, 5} mod 8. 6
 0, 3, 5, 8, 11, 13, 16, 19, 21, 24, 27, 29, 32, 35, 37, 40, 43, 45, 48, 51, 53, 56, 59, 61, 64, 67, 69, 72, 75, 77, 80, 83, 85, 88, 91, 93, 96, 99, 101, 104, 107, 109, 112, 115, 117, 120, 123, 125, 128, 131, 133, 136, 139, 141, 144, 147, 149, 152, 155, 157 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..1000 Index entries for linear recurrences with constant coefficients, signature (1,0,1,-1). FORMULA From R. J. Mathar, Oct 18 2008: (Start) G.f.: x^2*(3+2*x+3*x^2)/((1-x)^2*(1+x+x^2)). a(n) = A008576(n-1), for n>1. (End) a(n) = floor((8n-7)/3). - Gary Detlefs, Mar 07 2010 From Wesley Ivan Hurt, Jun 13 2016: (Start) a(n) = a(n-1) + a(n-3) - a(n-4) for n>4. a(n) = (24*n-24-3*cos(2*n*Pi/3)-sqrt(3)*sin(2*n*Pi/3))/9. a(3k) = 8k-3, a(3k-1) = 8k-5, a(3k-2) = 8k-8. (End) a(n) = A047408(n) - 1. - Lorenzo Sauras Altuzarra, Jan 31 2023 E.g.f.: 3 + (8/3)*exp(x)*(x - 1) - exp(-x/2)*(3*cos(sqrt(3)*x/2) + sqrt(3)*sin(sqrt(3)*x/2))/9. - Stefano Spezia, Mar 30 2023 MAPLE seq(floor((8*n-7)/3), n=1..52); # Gary Detlefs, Mar 07 2010 MATHEMATICA Select[Range[0, 150], MemberQ[{0, 3, 5}, Mod[#, 8]]&] (* Harvey P. Dale, Oct 04 2012 *) LinearRecurrence[{1, 0, 1, -1}, {0, 3, 5, 8}, 100] (* Vincenzo Librandi, Jun 14 2016 *) PROG (Magma) [n : n in [0..150] | n mod 8 in [0, 3, 5]]; // Wesley Ivan Hurt, Jun 13 2016 CROSSREFS Cf. A008576, A047408. Sequence in context: A137910 A022850 A008576 * A240603 A079392 A185723 Adjacent sequences: A047619 A047620 A047621 * A047623 A047624 A047625 KEYWORD nonn,easy AUTHOR N. J. A. Sloane STATUS approved

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Last modified August 3 05:17 EDT 2024. Contains 374875 sequences. (Running on oeis4.)