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 A047285 Numbers that are congruent to {0, 2, 3, 6} mod 7. 1
 0, 2, 3, 6, 7, 9, 10, 13, 14, 16, 17, 20, 21, 23, 24, 27, 28, 30, 31, 34, 35, 37, 38, 41, 42, 44, 45, 48, 49, 51, 52, 55, 56, 58, 59, 62, 63, 65, 66, 69, 70, 72, 73, 76, 77, 79, 80, 83, 84, 86, 87, 90, 91, 93, 94, 97, 98, 100, 101, 104, 105, 107, 108, 111 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Index entries for linear recurrences with constant coefficients, signature (1,0,0,1,-1). FORMULA G.f.: x^2*(2+x+3*x^2+x^3) / ( (1+x)*(1+x^2)*(x-1)^2 ). - R. J. Mathar, Oct 25 2011 From Wesley Ivan Hurt, Jun 02 2016: (Start) a(n) = a(n-1) + a(n-4) - a(n-5) for n>5. a(n) = (14*n-13+3*i^(2*n)+(1+i)*i^(-n)+(1-i)*i^n)/8 where i=sqrt(-1). a(2k) = A047276(k), a(2k-1) = A047355(k). (End) MAPLE A047285:=n->(14*n-13+3*I^(2*n)+(1+I)*I^(-n)+(1-I)*I^n)/8: seq(A047285(n), n=1..100); # Wesley Ivan Hurt, Jun 02 2016 MATHEMATICA Table[(14n-13+3*I^(2n)+(1+I)*I^(-n)+(1-I)*I^n)/8, {n, 80}] (* Wesley Ivan Hurt, Jun 02 2016 *) Select[Range[0, 120], MemberQ[{0, 2, 3, 6}, Mod[#, 7]]&] (* or *) LinearRecurrence[ {1, 0, 0, 1, -1}, {0, 2, 3, 6, 7}, 100] (* Harvey P. Dale, Jul 12 2020 *) PROG (MAGMA) [n : n in [0..150] | n mod 7 in [0, 2, 3, 6]]; // Wesley Ivan Hurt, Jun 02 2016 CROSSREFS Cf. A047276, A047355. Sequence in context: A285567 A153123 A100913 * A191215 A190847 A201734 Adjacent sequences:  A047282 A047283 A047284 * A047286 A047287 A047288 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified January 15 21:33 EST 2021. Contains 340195 sequences. (Running on oeis4.)