A169825 Multiples of 420.

0, 420, 840, 1260, 1680, 2100, 2520, 2940, 3360, 3780, 4200, 4620, 5040, 5460, 5880, 6300, 6720, 7140, 7560, 7980, 8400, 8820, 9240, 9660, 10080, 10500, 10920, 11340, 11760, 12180, 12600, 13020, 13440, 13860, 14280, 14700, 15120, 15540, 15960, 16380, 16800

Offset

0,2

Comments

Numbers that are divisible by all of 1,2,3,4,5,6,7.

Links

Table of n, a(n) for n=0..40.

Erich Friedman, What's Special About This Number? (See the entry for "420")

Index entries for linear recurrences with constant coefficients, signature (2,-1).

Formula

a(n) = 420*n. - Wesley Ivan Hurt, Apr 11 2021

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

G.f.: 420*x/(x-1)^2.

E.g.f.: 420*x*exp(x).

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

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)

Mathematica

Range[0, 100]*420 (* Paolo Xausa, Apr 17 2024 *)

Prog

(PARI) a(n)=420*n \\ Charles R Greathouse IV, Apr 16 2024

Crossrefs

Cf. A001477, A008589, A008596, A008597, A008602, A008603.

Cf. A135628, A169823, A169827, A249674.

Sequence in context: A156687 A191934 A147775 * A135196 A259025 A281210

Adjacent sequences: A169822 A169823 A169824 * A169826 A169827 A169828

Keyword

nonn,easy

Author

N. J. A. Sloane, May 30 2010

Status

approved