A128794 n^3*8^n.

0, 8, 512, 13824, 262144, 4096000, 56623104, 719323136, 8589934592, 97844723712, 1073741824000, 11433202941952, 118747255799808, 1207813523111936, 12068239626469376, 118747255799808000, 1152921504606846976

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (32,-384,2048,-4096).

Formula

G.f.: 8*x*(1 + 32*x + 64*x^2)/(1 - 8*x)^4. - Vincenzo Librandi, Feb 10 2013

a(n) = 32*a(n-1) -384*a(n-2) +2048*a(n-3) -4096*a(n-4). - Vincenzo Librandi, Feb 10 2013

Mathematica

CoefficientList[Series[8 x (1 + 32 x + 64 x^2)/(1 - 8 x)^4, {x, 0, 30}], x] (* Vincenzo Librandi, Feb 10 2013 *)

Prog

(Magma) [n^3*8^n: n in [0..20]]; // Vincenzo Librandi, Feb 10 2013

Crossrefs

Cf. A036289, A007758.

Sequence in context: A016935 A241756 A236220 * A195804 A145259 A154025

Adjacent sequences: A128791 A128792 A128793 * A128795 A128796 A128797

Keyword

nonn,easy

Author

Mohammad K. Azarian, Apr 07 2007

Status

approved