A141259 - OEIS

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A141259

a(n) == {0,1,3,4,5,7,9,11} mod 12; n>0.

2

1, 3, 4, 5, 7, 9, 11, 12, 13, 15, 16, 17, 19, 21, 23, 24, 25, 27, 28, 29, 31, 33, 35, 36, 37, 39, 40, 41, 43, 45, 47, 48, 49, 51, 52, 53, 55, 57, 59, 60, 61, 63, 64, 65, 67, 69, 71, 72, 73, 75, 76, 77, 79, 81, 83, 84, 85, 87, 88, 89, 91, 93, 95, 96, 97, 99

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OFFSET

1,2

COMMENTS

A141260= characteristic function ofA141259such thatA141260(n) = 1 if n is inA141259;0 otherwise.

LINKS

Vincenzo Librandi,Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients,signature (2,-2,2,-2,2,-2,2,-1).

FORMULA

a(n) = {0,1,3,4,5,7,9,11} mod 12; n>0.

G.f. (1+x)*(x^5+x^3+1) / ( (x^2+1)*(x^4+1)*(x-1)^2 ). -R. J. Mathar,Nov 21 2011

EXAMPLE

a(16) = 24, == 0 mod 12.

MATHEMATICA

Select[Range[200], MemberQ[{0, 1, 3, 4, 5, 7, 9, 11}, Mod[#, 12]]&] (*Harvey P. Dale,Feb 20 2014 *)

PROG

(Magma) [n: n in [1..100]|n mod 12 in {0, 1, 3, 4, 5, 7, 9, 11}]; //Vincenzo Librandi,Feb 22 2014

CROSSREFS

Sequence in context:A003159 A361924 A187691*A349165 A047501 A256455

Adjacent sequences:A141256 A141257 A141258*A141260 A141261 A141262

KEYWORD

nonn

AUTHOR

Gary W. Adamson,Jun 18 2008

EXTENSIONS

More terms fromHarvey P. Dale,Feb 20 2014

STATUS

approved