A019747 Expansion of 1/((1-4x)(1-10x)(1-12x)).

1, 26, 468, 7240, 103376, 1406496, 18541888, 239158400, 3036523776, 38104777216, 473923294208, 5853743400960, 71911576293376, 879605537447936, 10721932937084928, 130329861195857920, 1580624998153650176

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (26,-208,480)

Formula

a(n)= -25*10^n/3 +9*12^n +4^n/3. - R. J. Mathar, Nov 11 2012

a(0)=1, a(1)=26, a(2)=468; for n>2, a(n) = 26*a(n-1) -208*a(n-2) +480*a(n-3). - Vincenzo Librandi, Jul 03 2013

a(n) = 22*a(n-1) -120*a(n-2) +4^n. - Vincenzo Librandi, Jul 03 2013

Mathematica

CoefficientList[Series[1 / ((1 - 4 x) (1 - 10 x) (1 - 12 x)), {x, 0, 20}], x] (* Vincenzo Librandi, Jul 03 2013 *)
LinearRecurrence[{26, -208, 480}, {1, 26, 468}, 20] (* Harvey P. Dale, Nov 28 2018 *)

Prog

(Magma) m:=20; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-4*x)*(1-10*x)*(1-12*x)))); /* or */ I:=[1, 26, 468]; [n le 3 select I[n] else 26*Self(n-1)-208*Self(n-2)+480*Self(n-3): n in [1..20]]; // Vincenzo Librandi, Jul 03 2013

Crossrefs

Sequence in context: A158425 A020566 A021724 * A163740 A021334 A018208

Adjacent sequences: A019744 A019745 A019746 * A019748 A019749 A019750

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved