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 A047205 Numbers that are congruent to {0, 3, 4} mod 5. 23
 0, 3, 4, 5, 8, 9, 10, 13, 14, 15, 18, 19, 20, 23, 24, 25, 28, 29, 30, 33, 34, 35, 38, 39, 40, 43, 44, 45, 48, 49, 50, 53, 54, 55, 58, 59, 60, 63, 64, 65, 68, 69, 70, 73, 74, 75, 78, 79, 80, 83, 84, 85, 88, 89, 90, 93, 94, 95, 98, 99, 100, 103, 104, 105, 108 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Index entries for linear recurrences with constant coefficients, signature (1,0,1,-1). FORMULA G.f.: x^2*(3+x+x^2) / ( (1+x+x^2)*(x-1)^2 ). - R. J. Mathar, Oct 08 2011 From Wesley Ivan Hurt, Jun 14 2016: (Start) a(n) = a(n-1) + a(n-3) - a(n-4) for n>4. a(n) = (15*n-9-4*sqrt(3)*sin(2*n*Pi/3))/9. a(3k) = 5k-1, a(3k-1) = 5k-2, a(3k-2) = 5k-5. (End) MAPLE A047205:=n->(15*n-9-4*sqrt(3)*sin(2*n*Pi/3))/9: seq(A047205(n), n=1..100); # Wesley Ivan Hurt, Jun 14 2016 MATHEMATICA Select[Range[0, 200], MemberQ[{0, 3, 4}, Mod[#, 5]] &] (* Vladimir Joseph Stephan Orlovsky, Feb 12 2012 *) PROG (MAGMA) [ n : n in [0..150] | n mod 5 in [0, 3, 4] ]; // Vincenzo Librandi, Mar 31 2011 (PARI) a(n)=n\3*5+[-1, 0, 3][n%3+1] \\ Charles R Greathouse IV, Dec 22 2011 CROSSREFS Sequence in context: A173999 A127427 A286994 * A283765 A120631 A047601 Adjacent sequences:  A047202 A047203 A047204 * A047206 A047207 A047208 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified February 27 07:52 EST 2020. Contains 332300 sequences. (Running on oeis4.)