A016159 Expansion of 1/((1-4x)(1-12x)).

1, 16, 208, 2560, 30976, 372736, 4476928, 53739520, 644939776, 7739539456, 92875522048, 1114510458880, 13374142283776, 160489774514176, 1925877562605568, 23110531825008640, 277326386195070976

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (16,-48).

Formula

a(n) = 2^(2*n-1)*(3^(n+1)-1). - Bruno Berselli, Feb 09 2011

a(n) = 12*a(n-1) + 4^n with a(0)=1. - Vincenzo Librandi, Feb 09 2011

a(n) = 16*a(n-1) - 48*a(n-2), a(0)=1, a(1)=16. - Harvey P. Dale, Nov 30 2011

a(n) = 2^(2n-3)*(3^n-1). - Harvey P. Dale, Nov 30 2011

Mathematica

Join[{a=1, b=16}, Table[c=16*b-48*a; a=b; b=c, {n, 40}]] (* Vladimir Joseph Stephan Orlovsky, Feb 08 2011 *)
CoefficientList[Series[1/((1-4x)(1-12x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{16, -48}, {1, 16}, 20] (* Harvey P. Dale, Nov 30 2011 *)

Crossrefs

Sequence in context: A055758 A046088 A186853 * A297370 A285167 A283694

Adjacent sequences: A016156 A016157 A016158 * A016160 A016161 A016162

Keyword

nonn

Author

N. J. A. Sloane

Status

approved