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A128782 n^2*4^n. 2
0, 4, 64, 576, 4096, 25600, 147456, 802816, 4194304, 21233664, 104857600, 507510784, 2415919104, 11341398016, 52613349376, 241591910400, 1099511627776, 4964982194176, 22265110462464, 99230924406784, 439804651110400 (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 (12,-48,64).

FORMULA

G.f. -4*x*(1+4*x) /  (4*x-1)^3 . a(n) = 4*A086952(n). - R. J. Mathar, Sep 20 2011

MATHEMATICA

Table[n^2 * 4^n, {n, 0, 30}] (* Vincenzo Librandi, Feb 06 2013 *)

PROG

(MAGMA) [n^2*4^n: n in [0..20]]; // Vincenzo Librandi, Feb 06 2013

CROSSREFS

Cf. A036289, A007758, A086952.

Sequence in context: A343725 A195800 A224446 * A318779 A264567 A264575

Adjacent sequences:  A128779 A128780 A128781 * A128783 A128784 A128785

KEYWORD

nonn,easy

AUTHOR

Mohammad K. Azarian, Apr 07 2007

STATUS

approved

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Last modified September 21 04:10 EDT 2021. Contains 347596 sequences. (Running on oeis4.)