A008600 Multiples of 18.

0, 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, 234, 252, 270, 288, 306, 324, 342, 360, 378, 396, 414, 432, 450, 468, 486, 504, 522, 540, 558, 576, 594, 612, 630, 648, 666, 684, 702, 720, 738, 756, 774, 792, 810, 828, 846, 864, 882, 900, 918, 936

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Tanya Khovanova, Recursive Sequences.

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 330.

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

Formula

G.f.: 18*x/(x-1)^2. - Vincenzo Librandi, Jun 10 2013

From Elmo R. Oliveira, Apr 10 2025: (Start)

E.g.f.: 18*x*exp(x).

a(n) = 18*n = 2*A008591(n) = A044102(n)/2.

a(n) = 2*a(n-1) - a(n-2). (End)

Mathematica

Range[0, 1000, 18] (* Vladimir Joseph Stephan Orlovsky, Jun 01 2011 *)
CoefficientList[Series[18 x / (x - 1)^2, {x, 0, 60}], x] (* Vincenzo Librandi, Jun 10 2013 *)
18*Range[0, 60] (* Harvey P. Dale, Jan 15 2023 *)

Prog

(PARI) a(n)=18*n \\ Charles R Greathouse IV, Sep 24 2015

Crossrefs

Cf. A008591, A008598, A044102, A154612.

Sequence in context: A166403 A004941 A004961 * A373599 A131766 A154575

Adjacent sequences: A008597 A008598 A008599 * A008601 A008602 A008603

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved