login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A016170 Expansion of 1/((1-6x)(1-8x)). 5

%I #22 May 04 2017 00:19:12

%S 1,14,148,1400,12496,107744,908608,7548800,62070016,506637824,

%T 4113568768,33271347200,268347559936,2159841173504,17357093552128,

%U 139326933401600,1117436577120256,8956419276406784,71752914167922688

%N Expansion of 1/((1-6x)(1-8x)).

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (14,-48)

%F a(n) = Sum_{k=1..n} 2^(n-1)*3^(n-k)*binomial(n,k). - _Zerinvary Lajos_, Sep 24 2006

%F a(n) = 4*8^n-3*6^n = A081201(n+1). Binomial transform of A081033. [_R. J. Mathar_, Sep 18 2008]

%F a(n) = 8*a(n-1)+6^n. [_Vincenzo Librandi_, Feb 09 2011]

%F a(0)=1, a(1)=14, a(n) = 14*a(n-1)-48*a(n-2) [_Harvey P. Dale_, Dec 08 2011]

%p A016170:=n->4*8^n-3*6^n: seq(A016170(n), n=0..30); # _Wesley Ivan Hurt_, May 03 2017

%t CoefficientList[Series[1/((1-6x)(1-8x)),{x,0,30}],x] (* or *) LinearRecurrence[{14,-48},{1,14},30] (* _Harvey P. Dale_, Dec 08 2011 *)

%o (PARI) Vec(1/((1-6*x)*(1-8*x))+O(x^99)) \\ _Charles R Greathouse IV_, Sep 24 2012

%Y Cf. A081033, A081201.

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 28 04:58 EDT 2024. Contains 371235 sequences. (Running on oeis4.)