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A168186
Positive numbers that are not multiples of 12.
4
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 73, 74, 75, 76, 77, 78
OFFSET
1,2
COMMENTS
A168185(a(n)) = 1; complement of A008594;
A109015(a(n)) < 12.
121 (in decimal) is a member of this sequence but not a member of A023805. - Robert Munafo, Jan 26 2010
80 is a member of this sequence but is not a member of A160453. - Franklin T. Adams-Watters, Jan 26 2010
LINKS
FORMULA
From Chai Wah Wu, Jan 16 2020: (Start)
a(n) = a(n-1) + a(n-11) - a(n-12) for n > 12.
G.f.: x*(x^11 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1)/(x^12 - x^11 - x + 1). (End)
EXAMPLE
156 is in A023805 but not in this sequence. - Franklin T. Adams-Watters, Jan 26 2010
MATHEMATICA
Select[Table[n, {n, 200}], Mod[#, 12]!=0&] (* Vladimir Joseph Stephan Orlovsky, Feb 18 2011*)
CROSSREFS
All three of A023805, A160453, A168186 are different.
Sequence in context: A357862 A098240 A023805 * A353866 A085235 A364461
KEYWORD
nonn
AUTHOR
Reinhard Zumkeller, Nov 30 2009
STATUS
approved