A016173 Expansion of 1/((1-6x)(1-10x)).

1, 16, 196, 2176, 23056, 238336, 2430016, 24580096, 247480576, 2484883456, 24909300736, 249455804416, 2496734826496, 24980408958976, 249882453753856, 2499294722523136, 24995768335138816, 249974610010832896

Offset

0,2

Links

Table of n, a(n) for n=0..17.

Index entries for linear recurrences with constant coefficients, signature (16, -60).

Formula

((8+sqrt4)^n - (8-sqrt4)^n)/4. Offset 1. a(3)=196. - Al Hakanson (hawkuu(AT)gmail.com), Dec 31 2008

a(n) = 16*a(n-1) - 60*a(n-2). - Philippe Deléham, Jan 01 2009

a(n) = 10*a(n-1) + 6^n, a(0)=1. - Vincenzo Librandi, Feb 09 2011

Mathematica

Join[{a=1, b=16}, Table[c=16*b-60*a; a=b; b=c, {n, 40}]] (* Vladimir Joseph Stephan Orlovsky, Feb 08 2011 *)
CoefficientList[Series[1/((1-6x)(1-10x)), {x, 0, 40}], x]  (* Harvey P. Dale, Mar 12 2011 *)

Crossrefs

Sequence in context: A173668 A126981 A086940 * A005747 A103721 A144844

Adjacent sequences: A016170 A016171 A016172 * A016174 A016175 A016176

Keyword

nonn

Author

N. J. A. Sloane

Status

approved