A109052 a(n) = lcm(n,11).

0, 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 11, 132, 143, 154, 165, 176, 187, 198, 209, 220, 231, 22, 253, 264, 275, 286, 297, 308, 319, 330, 341, 352, 33, 374, 385, 396, 407, 418, 429, 440, 451, 462, 473, 44, 495, 506, 517, 528, 539, 550, 561, 572, 583

Offset

0,2

Links

Amiram Eldar, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,-1).

Index entries for sequences related to lcm's.

Formula

a(n) = n*11/gcd(n, 11).

G.f.: 11*x/(1-x)^2 - 110*x^11/(1-x^11)^2. - Robert Israel, May 28 2014

From Amiram Eldar, Nov 26 2022: (Start)

a(n) = 11*A106612(n) = 11*n/A109014(n).

Sum_{k=1..n} a(k) ~ (111/22) * n^2. (End)

Sum_{n>=1} (-1)^(n+1)/a(n) = 21*log(2)/121. - Amiram Eldar, Sep 08 2023

Maple

seq(ilcm(n, 11), n=0..100); # Robert Israel, May 28 2014

Mathematica

LCM[#, 11]&/@Range[0, 60]  (* Harvey P. Dale, Mar 13 2011 *)

Prog

(Sage) [lcm(n, 11)for n in range(0, 54)] # Zerinvary Lajos, Jun 09 2009

Crossrefs

Cf. A106612, A109014, A109042.

Sequence in context: A108773 A282151 A333614 * A178358 A044896 A048841

Adjacent sequences: A109049 A109050 A109051 * A109053 A109054 A109055

Keyword

nonn,easy

Author

Mitch Harris, Jun 18 2005

Status

approved