A018250 Expansion of 1/((1-4x)(1-5x)(1-8x)).

1, 17, 197, 1945, 17661, 152817, 1284277, 10599305, 86485421, 700600417, 5649437157, 45422860665, 364536479581, 2922126916817, 23406459170837, 187399966290025, 1499945489904141, 12003309897022017, 96045277784597317

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (17,-92,160).

Formula

G.f.: 1/((1-4*x)*(1-5*x)*(1-8*x)).

a(n) = (3*4^(n+1)-5^(n+2)+2*8^(n+1))/3. - Bruno Berselli, Apr 05 2011

a(n) = 17*a(n-1) - 92*a(n-2) + 160*a(n-3). - Wesley Ivan Hurt, Sep 04 2022

Mathematica

CoefficientList[Series[1/((1-4x)(1-5x)(1-8x)), {x, 0, 20}], x]  (* Harvey P. Dale, Apr 05 2011 *)
Table[(3 4^(n + 1) - 5^(n + 2) + 2 8^(n + 1)) / 3, {n, 0, 50}] (* Vincenzo Librandi, Jun 20 2013 *)

Prog

(Magma) [(3*4^(n+1)-5^(n+2)+2*8^(n+1))/3: n in [0..30]]; // Vincenzo Librandi, Jun 20 2013

Crossrefs

Sequence in context: A019316 A262111 A238672 * A021184 A069361 A177135

Adjacent sequences: A018247 A018248 A018249 * A018251 A018252 A018253

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved