A008606 Multiples of 24.

0, 24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, 312, 336, 360, 384, 408, 432, 456, 480, 504, 528, 552, 576, 600, 624, 648, 672, 696, 720, 744, 768, 792, 816, 840, 864, 888, 912, 936, 960, 984, 1008, 1032, 1056, 1080, 1104, 1128, 1152, 1176, 1200

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Comments

If n is a multiple of 24, also the sum of the divisors of n-1 is a multiple of 24. - Vincenzo Librandi, Apr 12 2014

This is the sequence of numbers n such that A259748(n)/n = 11/12. - Danny Rorabaugh, Oct 22 2015

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Milan Janjic, Enumerative Formulas for Some Functions on Finite Sets.
• Tanya Khovanova, Recursive Sequences.
• INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 336.
• Index entries for linear recurrences with constant coefficients, signature (2,-1).

Crossrefs

Cf. A008604, A008605.

Programs

Mathematica

Range[0, 1500, 24] (* Vladimir Joseph Stephan Orlovsky, Jun 01 2011 *)
CoefficientList[Series[24 x / (x - 1)^2, {x, 0, 60}], x] (* Vincenzo Librandi, Jun 11 2013 *)

PARI

a(n)=24*n \\ Charles R Greathouse IV, Sep 24 2015

Formula

G.f.: 24*x/(1-x)^2. - Vincenzo Librandi, Jun 11 2013

a(n) = 24*A001477(n) - Danny Rorabaugh, Oct 24 2015

E.g.f.: 24*x*exp(x). - Stefano Spezia, Mar 02 2025