|
%I #17 Apr 17 2024 03:40:54
%S 0,420,840,1260,1680,2100,2520,2940,3360,3780,4200,4620,5040,5460,
%T 5880,6300,6720,7140,7560,7980,8400,8820,9240,9660,10080,10500,10920,
%U 11340,11760,12180,12600,13020,13440,13860,14280,14700,15120,15540,15960,16380,16800
%N Multiples of 420.
%C Numbers that are divisible by all of 1,2,3,4,5,6,7.
%H Erich Friedman, <a href="https://erich-friedman.github.io/numbers.html">What's Special About This Number?</a> (See the entry for "420")
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1).
%F a(n) = 420*n. - _Wesley Ivan Hurt_, Apr 11 2021
%F From _Elmo R. Oliveira_, Apr 16 2024: (Start)
%F G.f.: 420*x/(x-1)^2.
%F E.g.f.: 420*x*exp(x).
%F a(n) = 2*a(n-1) - a(n-2) for n >= 2.
%F a(n) = 7*A169823(n) = 14*A249674(n) = 15*A135628(n) = 20*A008603(n) = 21*A008602(n) = 28*A008597(n) = 30*A008596(n) = 60*A008589(n) = 420*A001477(n) = A169827(n)/2. (End)
%t Range[0, 100]*420 (* _Paolo Xausa_, Apr 17 2024 *)
%o (PARI) a(n)=420*n \\ _Charles R Greathouse IV_, Apr 16 2024
%Y Cf. A001477, A008589, A008596, A008597, A008602, A008603.
%Y Cf. A135628, A169823, A169827, A249674.
%K nonn,easy,changed
%O 0,2
%A _N. J. A. Sloane_, May 30 2010
|
