A025957 Expansion of 1/((1-2*x)*(1-3*x)*(1-11*x)*(1-12*x)).

1, 28, 531, 8582, 127505, 1800456, 24581887, 327729514, 4292988909, 55478507084, 709331302043, 8991457539246, 113171793119113, 1416078851325712, 17631136903084599, 218593740438932978, 2700345959017300517, 33253583319845917140, 408386749767334163155

Offset

0,2

Links

Harvey P. Dale, Table of n, a(n) for n = 0..925

Index entries for linear recurrences with constant coefficients, signature (28,-253,798,-792).

Formula

a(n) = -4*2^n/45+3*3^n/8-1331*11^n/72+96*12^n/5. - R. J. Mathar, Jun 20 2013

a(n) = 3^(n+1)-2^(n+1)+23*a(n-1)-132*a(n-2). - Vincenzo Librandi, May 30 2026

Mathematica

CoefficientList[Series[1/((1-2*x)*(1-3*x)*(1-11*x)*(1-12*x)), {x, 0, 30}], x] (* Harvey P. Dale, Jul 05 2022 *)
(* Alternative: *)
LinearRecurrence[{28, -253, 798, -792}, {1, 28, 531, 8582}, 30] (* Harvey P. Dale, Jul 05 2022 *)
(* Alternative: *)
a[0]=1; a[1]=28; a[n_]:=a[n]=3^(n+1)-2^(n+1)+23*a[n-1]-132*a[n-2]; Table[a[n], {n, 0, 19}] (* Vincenzo Librandi, May 30 2026 *)

Prog

(Magma) I:=[1, 28]; [n le 2 select I[n] else 3^n-2^n+23*Self(n-1)-132*Self(n-2): n in [1..22]]; // Vincenzo Librandi, May 30 2026

Crossrefs

Sequence in context: A023947 A020972 A383634 * A020758 A022000 A387311

Adjacent sequences: A025954 A025955 A025956 * A025958 A025959 A025960

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved