A028194 - OEIS

%I #19 Dec 26 2024 19:12:06

%S 1,35,779,14095,226491,3373575,47712739,650313455,8625455531,

%T 112077065815,1433487819699,18110309247615,226591110120571,

%U 2813231293937255,34711873203654659,426167229337538575

%N Expansion of 1/((1-5x)(1-8x)(1-10x)(1-12x)).

%H Harvey P. Dale, <a href="/A028194/b028194.txt">Table of n, a(n) for n = 0..925</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (35,-446,2440,-4800).

%F a(n) = 22*a(n-1) - 120*a(n-2) + (8^(n+1) - 5^(n+1))/3, n >= 2. - _Vincenzo Librandi_, Mar 12 2011

%F a(n) = (54*12^(n+1) - 105*10^(n+1) + 7*8^(n+2) - 5^(n+2))/21. - _Bruno Berselli_, Mar 12 2011

%t CoefficientList[Series[1/((1-5x)(1-8x)(1-10x)(1-12x)),{x,0,20}],x] (* or *) LinearRecurrence[{35,-446,2440,-4800},{1,35,779,14095},20] (* _Harvey P. Dale_, Dec 26 2024 *)

%K nonn

%O 0,2

%A _N. J. A. Sloane_