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 A054967 Numbers that are congruent to {0, 1, 9} mod 10. 2
 0, 1, 9, 10, 11, 19, 20, 21, 29, 30, 31, 39, 40, 41, 49, 50, 51, 59, 60, 61, 69, 70, 71, 79, 80, 81, 89, 90, 91, 99, 100, 101, 109, 110, 111, 119, 120, 121, 129, 130, 131, 139, 140, 141, 149, 150, 151, 159, 160, 161, 169, 170, 171, 179, 180, 181, 189, 190, 191, 199 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Numbers with last digit 0, 1, or 9. - Wesley Ivan Hurt, Jun 14 2016 LINKS Robert Israel, Table of n, a(n) for n = 1..10000 Index entries for linear recurrences with constant coefficients, signature (1,0,1,-1). FORMULA G.f.: x^2*(x^2+8*x+1)/((x-1)^2*(x^2+x+1)). - Robert Israel, Feb 23 2016 a(n) = a(n-1) + a(n-3) - a(n-4) for n>4. - Vincenzo Librandi, Feb 24 2016 From Wesley Ivan Hurt, Jun 14 2016: (Start) a(n) = (30*n-30+21*cos(2*n*Pi/3)+7*sqrt(3)*sin(2*n*Pi/3))/9. a(3k) = 10k-1, a(3k-1) = 10k-9, a(3k-2) = 10k-10. (End) MAPLE seq(seq(10*i+j, j=[0, 1, 9]), i=0..30); # Robert Israel, Feb 23 2016 MATHEMATICA Select[Range[0, 200], MemberQ[{0, 1, 9}, Mod[#, 10]] &] (* or *) LinearRecurrence[{1, 0, 1, -1}, {0, 1, 9, 10}, 60] (* Vincenzo Librandi, Feb 24 2016 *) PROG (MAGMA) [n: n in [0..200] | n mod 10 in [0, 1, 9]]; // Vincenzo Librandi, Feb 24 2016 CROSSREFS Cf. A047523. Sequence in context: A086446 A168042 A045522 * A227801 A048031 A048013 Adjacent sequences:  A054964 A054965 A054966 * A054968 A054969 A054970 KEYWORD nonn,easy AUTHOR Henry Bottomley, May 24 2000 STATUS approved

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Last modified August 17 17:00 EDT 2018. Contains 313816 sequences. (Running on oeis4.)