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

 

Logo

Many excellent designs for a new banner were submitted. We will use the best of them in rotation.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A143619 Expansion of 1/(1 - x^2 - x^7 - x^12 + x^14) (a Salem polynomial). 0
1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 3, 2, 4, 3, 5, 5, 6, 8, 9, 12, 13, 17, 19, 24, 28, 34, 41, 49, 59, 71, 86, 103, 124, 149, 179, 215, 259, 311, 375, 450, 542, 651, 784, 942, 1133, 1363, 1638, 1971, 2369, 2851, 3427, 4123, 4957, 5962, 7170, 8622, 10370, 12470, 14998, 18035, 21691, 26085, 31371 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,10

COMMENTS

Low growth rate of 1.20262... .The absolute values of the roots of the polynomial are 0.8315201041..., 1.2026167436..., and 1.0 (with multiplicity 12).  The polynomial is self-reciprocal. [Joerg Arndt, Nov 03 2012]

LINKS

Table of n, a(n) for n=0..63.

Index to sequences with linear recurrences with constant coefficients, signature (0,1,0,0,0,0,1,0,0,0,0,1,0,-1).

FORMULA

G.f.: 1/(x^14-x^12-x^7-x^2+1). [Colin Barker, Nov 03 2012]

MATHEMATICA

f[x_] = 1 - x^2 - x^7 - x^12 + x^14; g[x] = ExpandAll[x^14*f[1/x]]; a = Table[SeriesCoefficient[Series[1/g[x], {x, 0, 50}], n], {n, 0, 50}];

CROSSREFS

Sequence in context: A005044 A029142 A054685 * A029141 A230560 A058742

Adjacent sequences:  A143616 A143617 A143618 * A143620 A143621 A143622

KEYWORD

nonn,easy

AUTHOR

Roger L. Bagula and Gary W. Adamson, Oct 26 2008

EXTENSIONS

New name from Colin Barker and Joerg Arndt, Nov 03 2012

STATUS

approved

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

Content is available under The OEIS End-User License Agreement .

Last modified April 16 21:07 EDT 2014. Contains 240627 sequences.