A168186 Positive numbers that are not multiples of 12.

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

G. C. Greubel, Table of n, a(n) for n = 1..1000

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

Adjacent sequences: A168183 A168184 A168185 * A168187 A168188 A168189

Keyword

nonn

Author

Reinhard Zumkeller, Nov 30 2009

Status

approved