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 A047296 Numbers that are congruent to {3, 4, 6} mod 7. 1
 3, 4, 6, 10, 11, 13, 17, 18, 20, 24, 25, 27, 31, 32, 34, 38, 39, 41, 45, 46, 48, 52, 53, 55, 59, 60, 62, 66, 67, 69, 73, 74, 76, 80, 81, 83, 87, 88, 90, 94, 95, 97, 101, 102, 104, 108, 109, 111, 115, 116, 118, 122, 123, 125, 129, 130, 132, 136, 137, 139, 143 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Index entries for linear recurrences with constant coefficients, signature (1,0,1,-1). FORMULA G.f.: x*(3+x+2*x^2+x^3) / ( (1+x+x^2)*(x-1)^2 ). - R. J. Mathar, Oct 25 2011 From Wesley Ivan Hurt, Jun 07 2016: (Start) a(n) = a(n-1) + a(n-3) - a(n-4) for n>4. a(n) = (21*n-3-6*cos(2*n*Pi/3)+4*sqrt(3)*sin(2*n*Pi/3))/9. a(3k) = 7k-1, a(3k-1) = 7k-3, a(3k-2) = 7k-4. (End) MAPLE A047296:=n->(21*n-3-6*cos(2*n*Pi/3)+4*sqrt(3)*sin(2*n*Pi/3))/9: seq(A047296(n), n=1..100); # Wesley Ivan Hurt, Jun 07 2016 MATHEMATICA LinearRecurrence[{1, 0, 1, -1}, {3, 4, 6, 10}, 60] (* Harvey P. Dale, Apr 27 2015 *) PROG (MAGMA) [n : n in [1..150] | n mod 7 in [3, 4, 6]]; // Wesley Ivan Hurt, Jun 07 2016 CROSSREFS Sequence in context: A079325 A284528 A176865 * A301759 A322457 A137951 Adjacent sequences:  A047293 A047294 A047295 * A047297 A047298 A047299 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified April 22 22:19 EDT 2021. Contains 343197 sequences. (Running on oeis4.)