A025950 Expansion of 1/((1-2*x)*(1-3*x)*(1-8*x)*(1-11*x)).

1, 24, 387, 5306, 66969, 806148, 9425599, 108151662, 1225448037, 13766224472, 153719012811, 1709234017218, 18948174785905, 209602732183596, 2315012544644823, 25540197959076374, 281542657422715773, 3101773071020037120, 34157934497343454435, 376044725203248103530, 4138951543105948232841

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..900

Index entries for linear recurrences with constant coefficients, signature (24,-189,554,-528).

Formula

a(n) = -4*2^n/27+27*3^n/40-256*8^n/45+1331*11^n/216. - R. J. Mathar, Jun 20 2013

a(n) = 3^(n+1)-2^(n+1)+19*a(n-1)-88*a(n-2). - Vincenzo Librandi, May 14 2026

Mathematica

CoefficientList[Series[1/((1-2*x)*(1-3*x)*(1-8*x)*(1-11*x)), {x, 0, 30}], x] (* Harvey P. Dale, Jul 19 2016 *)
(* Alternative: *)
LinearRecurrence[{24, -189, 554, -528}, {1, 24, 387, 5306}, 30] (* Harvey P. Dale, Jul 19 2016 *)
(* Alternative: *)
a[0]=1; a[1]=24; a[n_]:=a[n]=3^(n+1)-2^(n+1)+19*a[n-1]-88*a[n-2]; Table[a[n], {n, 0, 20}] (* Vincenzo Librandi, May 14 2026 *)

Prog

(Magma) I:=[1, 24]; [n le 2 select I[n] else 3^n-2^n+19*Self(n-1)-88*Self(n-2): n in [1..20]]; // Vincenzo Librandi, May 14 2026

Crossrefs

Sequence in context: A042108 A022455 A021954 * A020584 A025970 A021924

Adjacent sequences: A025947 A025948 A025949 * A025951 A025952 A025953

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

More terms from Vincenzo Librandi, May 14 2026

Status

approved