A036294 a(n) = n * 8^n.

0, 8, 128, 1536, 16384, 163840, 1572864, 14680064, 134217728, 1207959552, 10737418240, 94489280512, 824633720832, 7146825580544, 61572651155456, 527765581332480, 4503599627370496, 38280596832649216, 324259173170675712, 2738188573441261568, 23058430092136939520

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (16,-64).

Formula

G.f.: 8*x / (8*x-1)^2. - Vincenzo Librandi, Aug 09 2017

a(n) = 16*a(n-1)-64*a(n-2). - Vincenzo Librandi, Aug 09 2017

From Amiram Eldar, Jul 20 2020: (Start)

Sum_{n>=1} 1/a(n) = log(8/7).

Sum_{n>=1} (-1)^(n+1)/a(n) = log(9/8). (End)

Mathematica

Table[n 7^n, {n, 0, 30}] (* or *) LinearRecurrence[{16, -64}, {0, 8}, 31] (* Vincenzo Librandi, Aug 09 2017 *)

Prog

(Magma) [n*8^n: n in [0..20]]; // Vincenzo Librandi, Aug 09 2017

Crossrefs

Sequence in context: A242355 A305519 A316956 * A298966 A299736 A133680

Adjacent sequences: A036291 A036292 A036293 * A036295 A036296 A036297

Keyword

nonn

Author

N. J. A. Sloane

Status

approved