A169823 Multiples of 60.

0, 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1020, 1080, 1140, 1200, 1260, 1320, 1380, 1440, 1500, 1560, 1620, 1680, 1740, 1800, 1860, 1920, 1980, 2040, 2100, 2160, 2220, 2280, 2340, 2400, 2460, 2520, 2580, 2640, 2700

Offset: 0

Author

N. J. A. Sloane, May 29 2010

Keywords

• nonn
• easy

Comments

Numbers that are divisible by all of 1, 2, 3, 4, 5, 6.

Links

• Erich Friedman, What's Special About This Number? (See the entry for "60")
• Index entries for linear recurrences with constant coefficients, signature (2,-1).

Crossrefs

Cf. A001477, A005843, A008585, A008586, A008587, A008588, A008592, A008594.

Cf. A008597, A008602, A169825, A169827, A249674.

Programs

Mathematica

Range[0, 2700, 60] (* Vladimir Joseph Stephan Orlovsky, Jul 12 2011 *)

PARI

a(n)=60*n \\ Charles R Greathouse IV, Mar 19 2017

Formula

From Elmo R. Oliveira, Apr 16 2024: (Start)

G.f.: 60*x/(x-1)^2.

E.g.f.: 60*x*exp(x).

a(n) = 60*n = 2*a(n-1) - a(n-2) for n >= 2.

a(n) = 2*A249674(n) = 3*A008602(n) = 4*A008597(n) = 5*A008594(n) = 6*A008592(n) = 10*A008588(n) = 12*A008587(n) = 15*A008586(n) = 20*A008585(n) = 30*A005843(n) = 60*A001477(n) = A169827(n)/14 = A169825(n)/7. (End)