A016146 Expansion of g.f. 1/((1-3*x)*(1-11*x)).

1, 14, 163, 1820, 20101, 221354, 2435623, 26794040, 294741001, 3242170694, 35663936683, 392303480660, 4315338818701, 47468728600034, 522156019383343, 5743716227565680, 63180878546269201, 694989664138101374, 7644886305906535603, 84093749366134153100, 925031243030962468501

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Index entries for linear recurrences with constant coefficients, signature (14,-33).

Crossrefs

Cf. A139741.

Programs

Mathematica

Join[{a=1,b=14},Table[c=14*b-33*a;a=b;b=c,{n,60}]] (* Vladimir Joseph Stephan Orlovsky, Feb 01 2011 *)
CoefficientList[Series[1/((1-3x)(1-11x)),{x,0,30}],x] (* or *) LinearRecurrence[ {14,-33},{1,14},30] (* Harvey P. Dale, Dec 18 2018 *)

Formula

a(n) = 14*a(n-1) - 33*a(n-2), n >= 2. - Vincenzo Librandi, Mar 14 2011

a(n) = (-3^(n+1) + 11^(n+1))/8. - R. J. Mathar, Mar 15 2011

From Elmo R. Oliveira, Mar 08 2025: (Start)

E.g.f.: exp(3*x)*(11*exp(8*x) - 3)/8.

a(n) = A139741(n+1)/8. (End)

Extensions

More terms from Michel Marcus, Mar 09 2025