A016267 Expansion of 1/((1-x)(1-10x)(1-12x)).

1, 23, 387, 5755, 80171, 1073163, 13989067, 178979915, 2258870091, 28217552203, 349721737547, 4307771961675, 52804374651211, 644763606925643, 7848274394218827, 95290403841737035, 1154595957211955531

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

Links

• Index entries for linear recurrences with constant coefficients, signature (23,-142,120).

Programs

Mathematica

CoefficientList[Series[1/((1-x)(1-10x)(1-12x)),{x,0,30}],x] (* or *) LinearRecurrence[{23,-142,120},{1,23,387},30] (* Harvey P. Dale, May 03 2012 *)

Formula

a(n) = (54*12^(n+1) - 55*10^(n+1) + 1)/99. - Bruno Berselli, Mar 21 2011

a(n) = 22*a(n-1) - 120*a(n-2) + 1, n >= 2. - Vincenzo Librandi, Mar 21 2011

a(0)=1, a(1)=23, a(2)=387, a(n) = 23*a(n-1) - 142*a(n-2) + 120*a(n-3). - Harvey P. Dale, May 03 2012