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!)
A018070 Expansion of 1/((1-3x)(1-8x)(1-11x)). 1
1, 22, 339, 4532, 56357, 672210, 7813303, 89300464, 1009144713, 11315328398, 126186563867, 1401795991596, 15529706751469, 171706382611786, 1895807080277631, 20910172869786728, 230462261504563025 (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 (22,-145,264).

FORMULA

a(0)=1, a(1)=22, a(2)=339; for n>2, a(n) = 22*a(n-1) -145*a(n-2) +264*a(n-3). - Vincenzo Librandi, Jul 02 2013

a(n) = 19*a(n-1) -88*a(n-2) +3^n. - Vincenzo Librandi, Jul 02 2013

a(n) = (5*11^(n+2) - 8^(n+3) + 3^(n+3))/120. [Yahia Kahloune, Jul 06 2013]

MATHEMATICA

CoefficientList[Series[1 / ((1 - 3 x) (1 - 8 x) (1 - 11 x)), {x, 0, 30}], x] (* Vincenzo Librandi, Jul 02 2013 *)

LinearRecurrence[{22, -145, 264}, {1, 22, 339}, 30] (* Harvey P. Dale, Jan 22 2014 *)

PROG

(MAGMA) m:=20; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-3*x)*(1-8*x)*(1-11*x)))); /* or */ I:=[1, 22, 339]; [n le 3 select I[n] else 22*Self(n-1)-145*Self(n-2)+264*Self(n-3): n in [1..20]]; // Vincenzo Librandi, Jul 02 2013

CROSSREFS

Sequence in context: A018090 A021274 A021534 * A332873 A019490 A021254

Adjacent sequences:  A018067 A018068 A018069 * A018071 A018072 A018073

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 February 25 14:40 EST 2021. Contains 341609 sequences. (Running on oeis4.)