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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: A029142 A054685 A246581 * A029141 A240866 A230560

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

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Last modified September 30 17:45 EDT 2014. Contains 247475 sequences.