login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A016314 Expansion of 1/((1-2x)*(1-7x)*(1-11x)). 1
1, 20, 287, 3634, 43329, 500136, 5666179, 63480878, 706360277, 7826457892, 86486501751, 954119775882, 10514695335145, 115797293297888, 1274719738572203, 14028563710395046, 154360726917116733 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (20,-113,154).

FORMULA

a(n) = 4*2^n/45 - 49*7^n/20 + 121*11^n/36. - R. J. Mathar, Jun 23 2013

From Vincenzo Librandi, Jun 26 2013: (Start)

a(n) = 20*a(n-1) - 113*a(n-2) + 154*a(n-3).

a(n) = 18*a(n-1) - 77*a(n-2) + 2^n. (End)

MATHEMATICA

CoefficientList[Series[1/((1-2x)(1-7x)(1-11x)), {x, 0, 20}], x]  (* Harvey P. Dale, Apr 01 2011 *)

PROG

(MAGMA) I:=[1, 20, 287]; [n le 3 select I[n] else 20*Self(n-1)-113*Self(n-2)+154*Self(n-3): n in [1..20]]; /* or */ m:=20; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-2*x)*(1-7*x)*(1-11*x)))); // Vincenzo Librandi, Jun 26 2013

(PARI) x='x+O('x^99); Vec(1/((1-2*x)*(1-7*x)*(1-11*x))) \\ Altug Alkan, Sep 21 2018

CROSSREFS

Sequence in context: A021404 A046175 A231105 * A021164 A225829 A017918

Adjacent sequences:  A016311 A016312 A016313 * A016315 A016316 A016317

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 4 02:07 EDT 2020. Contains 334812 sequences. (Running on oeis4.)