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A036294 a(n) = n * 8^n. 3
0, 8, 128, 1536, 16384, 163840, 1572864, 14680064, 134217728, 1207959552, 10737418240, 94489280512, 824633720832, 7146825580544, 61572651155456, 527765581332480, 4503599627370496, 38280596832649216, 324259173170675712, 2738188573441261568, 23058430092136939520 (list; graph; refs; listen; history; text; internal format)
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)

MAPLE

with(finance):seq(futurevalue(n, 7, n), n=0..18); # Zerinvary Lajos, Mar 25 2009

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

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Last modified August 11 16:43 EDT 2020. Contains 336428 sequences. (Running on oeis4.)