A028125 - OEIS

%I #13 Aug 31 2018 19:25:42

%S 1,29,542,8338,115203,1490127,18459184,221986196,2613955685,

%T 30311197345,347486967906,3949158184374,44583107459047,

%U 500701324008083,5600328285552308,62437282927169272,694313904033290889

%N Expansion of 1/((1-4x)(1-5x)(1-9x)(1-11x)).

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (29,-299,1291,-1980).

%F From _Vincenzo Librandi_, Mar 17 2011: (Start)

%F a(n) = 29*a(n-1) - 299*a(n-2) + 1291*a(n-3) - 1980*a(n-4), n >= 4.

%F a(n) = 20*a(n-1) - 99*a(n-2) + 5^(n+1) - 4^(n+1), n >= 2. (End)

%F a(n) = -4^(n+3)/35 + 5^(n+3)/24 - 9^(n+3)/40 + 11^(n+3)/84. - _R. J. Mathar_, Mar 17 2011

%K nonn

%O 0,2

%A _N. J. A. Sloane_