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A047231
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Numbers that are congruent to {0, 3, 4} mod 6.
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2
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0, 3, 4, 6, 9, 10, 12, 15, 16, 18, 21, 22, 24, 27, 28, 30, 33, 34, 36, 39, 40, 42, 45, 46, 48, 51, 52, 54, 57, 58, 60, 63, 64, 66, 69, 70, 72, 75, 76, 78, 81, 82, 84, 87, 88, 90, 93, 94, 96, 99, 100, 102, 105, 106, 108
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refs;
listen;
history;
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OFFSET
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1,2
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 1..1000
Index to sequences with linear recurrences with constant coefficients, signature (1,0,1,-1).
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FORMULA
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a(n)= +a(n-1) +a(n-3) -a(n-4). G.f.: x^2*(3+x+2*x^2) / ( (1+x+x^2)*(x-1)^2 ). a(n) = 2*n+2-(11+A061347(n+1))/3. [From R. J. Mathar, Aug 05 2010]
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MATHEMATICA
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Select[Range[0, 600], MemberQ[{0, 3, 4}, Mod[#, 6]]&] (* Vincenzo Librandi, Jan 06 2013 *)
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PROG
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(MAGMA) [n: n in [0..120] | n mod 6 in [0, 3, 4]]; // Vincenzo Librandi, Jan 06 2013
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CROSSREFS
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Sequence in context: A032706 A153464 A189297 * A050131 A191326 A191185
Adjacent sequences: A047228 A047229 A047230 * A047232 A047233 A047234
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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