login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A023954 Expansion of 1/((1-x)(1-6x)(1-8x)(1-9x)). 1
1, 24, 379, 4974, 58825, 651228, 6891463, 70602378, 706070629, 6931922712, 67078160227, 641665645062, 6081300568513, 57197856053076, 534603948966271, 4970585718586626, 46011858222290077, 424339730032027920 (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 (24,-197,606,-432).

FORMULA

a(n) = (35*9^(n+3) - 60*8^(n+3) + 28*6^(n+3) - 3)/840. [Yahia Kahloune, Jun 29 2013]

a(0)=1, a(1)=24, a(2)=379, a(3)=4974; for n>3, a(n) = 24*a(n-1)-197*a(n-2)+606*a(n-3)-432*a(n-4). - Vincenzo Librandi, Jul 16 2013

MATHEMATICA

CoefficientList[Series[1 / ((1 - x) (1 - 6 x) (1 - 8 x) (1 - 9 x)), {x, 0, 20}], x] (* Vincenzo Librandi, Jul 16 2013 *)

PROG

(MAGMA) m:=25; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x)*(1-6*x)*(1-8*x)*(1-9*x)))); /* or */ I:=[1, 24, 379, 4974]; [n le 4 select I[n] else 24*Self(n-1)-197*Self(n-2)+606*Self(n-3)-432*Self(n-4): n in [1..25]]; // Vincenzo Librandi, Jul 16 2013

CROSSREFS

Sequence in context: A028040 A025994 A004335 * A028036 A025977 A023951

Adjacent sequences:  A023951 A023952 A023953 * A023955 A023956 A023957

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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 28 07:06 EDT 2022. Contains 354112 sequences. (Running on oeis4.)