A028162 - OEIS

%I #23 Aug 06 2024 09:32:24

%S 1,35,783,14287,231959,3494127,49989031,689059679,9238060887,

%T 121247325199,1565149220999,19940086389951,251372353802935,

%U 3141956721674351,38999543432154087,481325752085244703

%N Expansion of 1/((1-4x)(1-9x)(1-10x)(1-12x)).

%H Harvey P. Dale, <a href="/A028162/b028162.txt">Table of n, a(n) for n = 0..925</a>

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (35,-442,2352,-4320).

%F a(n) = 22*a(n-1) - 120*a(n-2) + (9^(n+1) - 4^(n+1))/5, n >= 2. - _Vincenzo Librandi_, Mar 16 2011

%F a(n) = 3*12^(n+1) - 25*10^(n+1)/3 + 3*9^(n+2)/5 - 2^(2*n+2)/15. - _R. J. Mathar_, Mar 18 2011

%t LinearRecurrence[{35,-442,2352,-4320},{1,35,783,14287},20] (* _Harvey P. Dale_, Nov 22 2014 *)

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_