|
%I #17 Apr 16 2024 09:51:28
%S 0,60,120,180,240,300,360,420,480,540,600,660,720,780,840,900,960,
%T 1020,1080,1140,1200,1260,1320,1380,1440,1500,1560,1620,1680,1740,
%U 1800,1860,1920,1980,2040,2100,2160,2220,2280,2340,2400,2460,2520,2580,2640,2700
%N Multiples of 60.
%C Numbers that are divisible by all of 1, 2, 3, 4, 5, 6.
%H Erich Friedman, <a href="https://erich-friedman.github.io/numbers.html">What's Special About This Number?</a> (See the entry for "60")
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1).
%F From _Elmo R. Oliveira_, Apr 16 2024: (Start)
%F G.f.: 60*x/(x-1)^2.
%F E.g.f.: 60*x*exp(x).
%F a(n) = 60*n = 2*a(n-1) - a(n-2) for n >= 2.
%F 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)
%t Range[0, 2700, 60] (* _Vladimir Joseph Stephan Orlovsky_, Jul 12 2011 *)
%o (PARI) a(n)=60*n \\ _Charles R Greathouse IV_, Mar 19 2017
%Y Cf. A001477, A005843, A008585, A008586, A008587, A008588, A008592, A008594.
%Y Cf. A008597, A008602, A169825, A169827, A249674.
%K nonn,easy,changed
%O 0,2
%A _N. J. A. Sloane_, May 29 2010
|
