A228437 Denominator of n/24.

1, 24, 12, 8, 6, 24, 4, 24, 3, 8, 12, 24, 2, 24, 12, 8, 3, 24, 4, 24, 6, 8, 12, 24, 1, 24, 12, 8, 6, 24, 4, 24, 3, 8, 12, 24, 2, 24, 12, 8, 3, 24, 4, 24, 6, 8, 12, 24, 1, 24, 12, 8, 6, 24, 4, 24, 3, 8, 12, 24, 2, 24, 12, 8, 3, 24, 4, 24, 6, 8, 12, 24, 1

Offset

0,2

Comments

Periodic of period length 24.

Links

Table of n, a(n) for n=0..72.

Formula

G.f.: ( -1 -24*x -12*x^2 -8*x^3 -6*x^4 -24*x^5 -4*x^6 -24*x^7 -3*x^8 -8*x^9 -12*x^10 -24*x^11 -2*x^12 -24*x^13 -12*x^14 -8*x^15 -3*x^16 -24*x^17 -4*x^18 -24*x^19 -6*x^20 -8*x^21 -12*x^22 -24*x^23 ) / ( (x-1)*(1+x+x^2)*(1+x)*(1-x+x^2)*(1+x^2)*(x^4-x^2+1)*(1+x^4)*(x^8-x^4+1) ). - R. J. Mathar, Dec 18 2013

Maple

A228437 := proc(n)
    denom(n/24) ;
end proc: # R. J. Mathar, Dec 18 2013

Mathematica

Denominator[Range[0, 80]/24] (* or *) PadRight[{}, 80, {1, 24, 12, 8, 6, 24, 4, 24, 3, 8, 12, 24, 2, 24, 12, 8, 3, 24, 4, 24, 6, 8, 12, 24}] (* Harvey P. Dale, Jan 17 2017 *)

Crossrefs

Sequence in context: A118983 A033968 A033344 * A079341 A307267 A080865

Adjacent sequences: A228434 A228435 A228436 * A228438 A228439 A228440

Keyword

nonn,easy,frac

Author

Jon Hearn, Nov 10 2013

Status

approved