A109049 a(n) = lcm(n, 8).

0, 8, 8, 24, 8, 40, 24, 56, 8, 72, 40, 88, 24, 104, 56, 120, 16, 136, 72, 152, 40, 168, 88, 184, 24, 200, 104, 216, 56, 232, 120, 248, 32, 264, 136, 280, 72, 296, 152, 312, 40, 328, 168, 344, 88, 360, 184, 376, 48, 392, 200, 408, 104, 424, 216, 440, 56, 456, 232

Offset

0,2

Links

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

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

Index entries for sequences related to lcm's.

Formula

a(n) = n*8/gcd(n, 8).

From R. J. Mathar, Apr 18 2011: (Start)

G.f.: 8*x*(x^2-x+1)*(x^12 + 2*x^11 + 4*x^10 + 3*x^9 + 4*x^8 + 4*x^7 + 7*x^6 + 4*x^5 + 4*x^4 + 3*x^3 + 4*x^2 + 2*x + 1) / ( (x-1)^2 *(1+x)^2 *(x^2+1)^2 *(x^4+1)^2 ).

a(n) = 8*A106609(n) = 8*n/A109011(n). (End)

Sum_{k=1..n} a(k) ~ (43/16) * n^2. - Amiram Eldar, Nov 26 2022

Mathematica

LCM[Range[0, 60], 8] (* Harvey P. Dale, May 03 2019 *)

Prog

(Sage) [lcm(n, 8)for n in range(0, 59)] # Zerinvary Lajos, Jun 09 2009
(Magma) [Lcm(n, 8): n in [0..100]]; // Vincenzo Librandi, Apr 18 2011

Crossrefs

Cf. A106609, A109011, A109042.

Sequence in context: A195862 A227107 A205382 * A160239 A211017 A037018

Adjacent sequences: A109046 A109047 A109048 * A109050 A109051 A109052

Keyword

nonn,easy

Author

Mitch Harris, Jun 18 2005

Status

approved