

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
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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 selfreciprocal. [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^14x^12x^7x^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 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



