login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A134874 Expansion of 1/(1 - 137 x - 133 x^4). 0
1, 137, 18769, 2571353, 352275494, 48261760899, 6611863739440, 905825674293229, 124098164230813075, 17001454918435590842, 2329200203203553290874, 319100548313701481849195 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

From characteristic polynomial of the matrix: {{0, 1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {133, 0, 0, 137}}.

Polynomial base is Pisot and the large positiuve root is near 1/alpha: 137.00005172368373...

LINKS

Table of n, a(n) for n=1..12.

FORMULA

a(n) =Expansion(1/(1 - 137 x - 133 x^4))

MATHEMATICA

mc = {{0, 1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {133, 0, 0, 137}}; f[x_] = CharacteristicPolynomial[mc, x]; g[x_] = Expand[x^4*f[1/x]]; Table[ SeriesCoefficient[Series[1/g[x], {x, 0, 30}], n], {n, 0, 30}]

CROSSREFS

Sequence in context: A261973 A103878 A068154 * A064104 A300407 A122703

Adjacent sequences:  A134871 A134872 A134873 * A134875 A134876 A134877

KEYWORD

nonn

AUTHOR

Roger L. Bagula, Jan 29 2008

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 August 22 16:17 EDT 2019. Contains 326178 sequences. (Running on oeis4.)