A025951 - OEIS

%I #17 Jul 30 2015 22:27:52

%S 1,25,423,6125,82103,1054725,13214671,163046125,1992333255,

%T 24194295125,292622085119,3529789897725,42504079369207,

%U 511221761969125,6144043634254767,73803583579040525,886243482821361959

%N Expansion of 1/((1-2x)(1-3x)(1-8x)(1-12x)).

%H Vincenzo Librandi, <a href="/A025951/b025951.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (25, -202, 600, -576).

%F a(n) = -2*2^n/15 +3*3^n/5 -64*8^n/15 +24*12^n/5. - _R. J. Mathar_, Jun 20 2013

%F a(0)=1, a(1)=25, a(2)=423, a(3)=6125, a(n)=25*a(n-1)-202*a(n-2)+ 600*a(n-3)- 576*a(n-4). - _Harvey P. Dale_, Mar 08 2014

%p A025951:=n->-2*2^n/15 +3*3^n/5 -64*8^n/15 +24*12^n/5; seq(A025951(n), n=0..30); # _Wesley Ivan Hurt_, Mar 10 2014

%t CoefficientList[Series[1/((1-2x)(1-3x)(1-8x)(1-12x)),{x,0,30}],x] (* or *) LinearRecurrence[{25,-202,600,-576},{1,25,423,6125},30] (* _Harvey P. Dale_, Mar 08 2014 *)

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_.