A016293 Expansion of 1 / ((1-2*x) * (1-4*x) * (1-11*x)).

1, 17, 215, 2485, 27831, 308157, 3397855, 37409045, 411630311, 4528457197, 49815125295, 547974764805, 6027755963191, 66305449804637, 729360484705535, 8022967479211765, 88252650861198471, 970779193832790477, 10678571269599386575, 117464284515348541925

Offset

0,2

Links

Harvey P. Dale, Table of n, a(n) for n = 0..959

Index entries for linear recurrences with constant coefficients, signature (17,-74,88).

Formula

Contribution from Vincenzo Librandi, Mar 15 2011: (Start)

a(n) = 17*a(n-1) - 74*a(n-2) + 88*a(n-3), n>=3.

a(n) = 15*a(n-1) - 44*a(n-2) + 2^n, a(0)=1, a(1)=17. (End)

a(n) = (2/9)*2^n-(8/7)*(4)^n+(121/63)*11^n. - Antonio Alberto Olivares, May 12 2012

Mathematica

CoefficientList[Series[1/((1-2x)(1-4x)(1-11x)), {x, 0, 30}], x] (* Harvey P. Dale, Apr 26 2015 *)
(* Alternative: *)
LinearRecurrence[{17, -74, 88}, {1, 17, 215}, 30] (* Harvey P. Dale, Apr 26 2015 *)

Prog

(PARI) a(n)=2/9*2^n-8/7*4^n+121/63*11^n \\ Charles R Greathouse IV, Jun 01 2026

Crossrefs

Sequence in context: A021054 A016246 A009441 * A139733 A016185 A125452

Adjacent sequences: A016290 A016291 A016292 * A016294 A016295 A016296

Keyword

nonn,easy,changed

Author

N. J. A. Sloane

Status

approved