OFFSET
0,9
COMMENTS
Limiting ratio is 1.2303914344072246.
The polynomial is the 10th Salem on Mossinghoff's list.
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..1000
Michael Mossinghoff, Small Salem Numbers
Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,-1).
FORMULA
a(n) = a(n-1) + a(n-8) + a(n-15) - a(n-16). - Harvey P. Dale, Apr 02 2012
MAPLE
seq(coeff(series(1/(1-x-x^8-x^15+x^16), x, n+1), x, n), n = 0..60); # G. C. Greubel, Dec 15 2019
MATHEMATICA
CoefficientList[Series[1/(1-x-x^8-x^15+x^16), {x, 0, 60}] , x] (* Harvey P. Dale, Apr 02 2012 *)
PROG
(PARI) my(x='x+O('x^60)); Vec(1/(1-x-x^8-x^15+x^16)) \\ G. C. Greubel, Nov 03 2018
(Magma) R<x>:=PowerSeriesRing(Integers(), 60); Coefficients(R!(1/(1-x-x^8-x^15+x^16))); // G. C. Greubel, Nov 03 2018
(Sage)
def A173925_list(prec):
P.<x> = PowerSeriesRing(ZZ, prec)
return P( 1/(1-x-x^8-x^15+x^16) ).list()
A173925_list(60) # G. C. Greubel, Dec 15 2019
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Roger L. Bagula, Nov 26 2010
STATUS
approved