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A129008 (n^3+n^2)*8^n. 1
16, 768, 18432, 327680, 4915200, 66060288, 822083584, 9663676416, 108716359680, 1181116006400, 12472585027584, 128642860449792, 1300722255659008, 12930256742645760, 126663739519795200, 1224979098644774912 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

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

FORMULA

G.f.: 16*x*(1 + 16*x)/(1 - 8*x)^4. - Vincenzo Librandi, Feb 12 2013

a(n) = 32*a(n-1)-384*a(n-2)+2048*a(n-3)-4096*a(n-4). - Vincenzo Librandi, Feb 12 2013

MATHEMATICA

CoefficientList[Series[16 (1 + 16 x)/(1 - 8 x)^4, {x, 0, 30}], x] (* Vincenzo Librandi, Feb 12 2013 *)

PROG

(MAGMA) [(n^3+n^2)*8^n: n in [1..25]]; /* or */ I:=[16, 768, 18432, 327680]; [n le 4 select I[n] else 32*Self(n-1)-384*Self(n-2)+2048*Self(n-3)-4096*Self(n-4): n in [1..25]]; // Vincenzo Librandi, Feb 12 2013

CROSSREFS

Cf. A128796, A036289.

Sequence in context: A307923 A159375 A221527 * A134183 A042109 A221061

Adjacent sequences:  A129005 A129006 A129007 * A129009 A129010 A129011

KEYWORD

nonn,easy

AUTHOR

Mohammad K. Azarian, May 01 2007

STATUS

approved

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Last modified January 22 18:37 EST 2022. Contains 350488 sequences. (Running on oeis4.)