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A019671 Expansion of 1/((1-4x)(1-8x)(1-10x)). 1
1, 22, 332, 4280, 50736, 571872, 6238912, 66567040, 699159296, 7259766272, 74744097792, 764616652800, 7783588704256, 78935331561472, 798149140201472, 8051859072450560, 81081536382959616, 815318946277097472 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index to sequences with linear recurrences with constant coefficients, signature (22,-152,320).

FORMULA

a(n)= 2*4^n/3 -8^(n+1)+25*10^n/3 . - R. J. Mathar, Nov 11 2012

a(0)=1, a(1)=22, a(2)=332; for n>2, a(n) = 22*a(n-1) -152*a(n-2) +320*a(n-3). - Vincenzo Librandi, Jul 03 2013

a(n) = 18*a(n-1) -80*a(n-2) +4^n. - Vincenzo Librandi, Jul 03 2013

MATHEMATICA

CoefficientList[Series[1 / ((1 - 4 x) (1 - 8 x) (1 - 10 x)), {x, 0, 20}], x] (* Vincenzo Librandi, Jul 03 2013 *)

LinearRecurrence[{22, -152, 320}, {1, 22, 332}, 20] (* Harvey P. Dale, Aug 28 2013 *)

PROG

(MAGMA) m:=20; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-4*x)*(1-8*x)*(1-10*x)))); /* or */ I:=[1, 22, 332]; [n le 3 select I[n] else 22*Self(n-1)-152*Self(n-2)+320*Self(n-3): n in [1..20]]; // Vincenzo Librandi, Jul 03 2013

CROSSREFS

Sequence in context: A019958 A021644 A021834 * A021614 A019854 A025936

Adjacent sequences:  A019668 A019669 A019670 * A019672 A019673 A019674

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified April 20 13:52 EDT 2014. Contains 240806 sequences.