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 A047440 Numbers that are congruent to {2, 5, 6} mod 8. 1
 2, 5, 6, 10, 13, 14, 18, 21, 22, 26, 29, 30, 34, 37, 38, 42, 45, 46, 50, 53, 54, 58, 61, 62, 66, 69, 70, 74, 77, 78, 82, 85, 86, 90, 93, 94, 98, 101, 102, 106, 109, 110, 114, 117, 118, 122, 125, 126, 130, 133, 134, 138, 141, 142, 146, 149, 150, 154, 157, 158 (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*(2+3*x+x^2+2*x^3)/((1+x+x^2)*(x-1)^2). - R. J. Mathar, Dec 07 2011 a(n) = a(n-1) + a(n-3) - a(n-4) for n>4. a(n) = (24*n-9-9*cos(2*n*Pi/3)-sqrt(3)*sin(2*n*Pi/3))/9. a(3k) = 8k-2, a(3k-1) = 8k-3, a(3k-2) = 8k-6. (End) MAPLE A047440:=n->(24*n-9-9*cos(2*n*Pi/3)-sqrt(3)*sin(2*n*Pi/3))/9: seq(A047440(n), n=1..100); # Wesley Ivan Hurt, Jun 09 2016 MATHEMATICA Flatten[{#+2, #+5, #+6}&/@(8 Range[0, 20])] (* Harvey P. Dale, Dec. 19, 2010 *) PROG (MAGMA) [n : n in [0..150] | n mod 8 in [2, 5, 6]]; // Wesley Ivan Hurt, Jun 09 2016 CROSSREFS Sequence in context: A212015 A255341 A089269 * A255055 A007674 A086719 Adjacent sequences:  A047437 A047438 A047439 * A047441 A047442 A047443 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified April 24 04:23 EDT 2019. Contains 322406 sequences. (Running on oeis4.)