A016294 Expansion of 1/((1-2x)(1-4x)(1-12x)).

1, 18, 244, 3048, 37072, 446880, 5370688, 64480896, 773901568, 9287342592, 111450207232, 1337410873344, 16048964030464, 192587702575104, 2311052967755776, 27732637760520192, 332791661716111360

Offset

0,2

Links

Table of n, a(n) for n=0..16.

Index entries for linear recurrences with constant coefficients, signature (18,-80,96).

Formula

From Vincenzo Librandi, Mar 16 2011: (Start)

a(n) = 18*a(n-1) - 80*a(n-2) + 96*a(n-3), n >= 3.

a(n) = 16*a(n-1) - 48*a(n-2) + 2^n, n >= 2. (End)

a(n) = 9*12^n/5 + 2^n/5 - 4^n. - R. J. Mathar, Mar 17 2011

Mathematica

CoefficientList[Series[1/((1-2x)(1-4x)(1-12x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{18, -80, 96}, {1, 18, 244}, 20] (* Harvey P. Dale, Oct 10 2019 *)

Crossrefs

Sequence in context: A333298 A016186 A081203 * A153593 A001713 A110395

Adjacent sequences: A016291 A016292 A016293 * A016295 A016296 A016297

Keyword

nonn

Author

N. J. A. Sloane

Status

approved