A169827 Multiples of 840.

0, 840, 1680, 2520, 3360, 4200, 5040, 5880, 6720, 7560, 8400, 9240, 10080, 10920, 11760, 12600, 13440, 14280, 15120, 15960, 16800, 17640, 18480, 19320, 20160, 21000, 21840, 22680, 23520, 24360, 25200, 26040, 26880, 27720, 28560, 29400, 30240, 31080, 31920

Offset

0,2

Comments

Numbers that are divisible by all of 1,2,3,4,5,6,7,8.

Links

Table of n, a(n) for n=0..38.

Erich Friedman, What's Special About This Number?

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

Formula

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

G.f.: 840*x/(x-1)^2.

E.g.f.: 840*x*exp(x).

a(n) = 840*n = 2*a(n-1) - a(n-2) for n >= 2.

a(n) = 2*A169825(n) = 14*A169823(n) = 21*A317095(n) = 28*A249674(n) = 30*A135628(n) = 40*A008603(n) = 60*A008596(n) = 420*A005843(n) = 840*A001477(n). (End)

Mathematica

840*Range[0, 40] (* Harvey P. Dale, Nov 03 2015 *)

Prog

(PARI) a(n)=840*n \\ Charles R Greathouse IV, Apr 16 2024

Crossrefs

Cf. A001477, A005843, A008596, A008603, A135628, A169823, A169825.

Cf. A249674, A317095.

Sequence in context: A272595 A179670 A092002 * A158402 A361421 A045477

Adjacent sequences: A169824 A169825 A169826 * A169828 A169829 A169830

Keyword

nonn,easy,changed

Author

N. J. A. Sloane, May 30 2010

Status

approved