A128802 a(n) = n*(n-1)*8^n.

0, 0, 128, 3072, 49152, 655360, 7864320, 88080384, 939524096, 9663676416, 96636764160, 944892805120, 9070970929152, 85761906966528, 800444465020928, 7388718138654720, 67553994410557440, 612489549322387456

Offset

0,3

Links

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

Index entries for linear recurrences with constant coefficients, signature (24,-192,512).

Formula

a(n) = 24*a(n-1) - 192*a(n-2) + 512*a(n-3); a(0)=0, a(1)=0, a(2)=128. - Harvey P. Dale, Nov 05 2011

G.f.: -128*x^2/(8*x-1)^3. - Harvey P. Dale, Nov 05 2011

a(n) = 128*A081138(n). - R. J. Mathar, Apr 26 2015

Mathematica

Table[(n^2-n)8^n, {n, 0, 20}] (* or *) LinearRecurrence[{24, -192, 512}, {0, 0, 128}, 20] (* Harvey P. Dale, Nov 05 2011 *)

Prog

(Magma) [(n^2-n)*8^n: n in [0..20]]; // Vincenzo Librandi, Nov 16 2011

Crossrefs

Cf. A036289, A007758.

Sequence in context: A019564 A224163 A224414 * A297613 A250565 A264383

Adjacent sequences: A128799 A128800 A128801 * A128803 A128804 A128805

Keyword

nonn,easy

Author

Mohammad K. Azarian, Apr 07 2007

Status

approved