A158375 - OEIS

A158375

Let p(x) = 1063*x + 867*x^2 + 676*x^3 + 322*x^4 + 124*x^5 + 36*x^6 + 7*x^7 + x^8, expansion of the reciprocal polynomial of p(x).

%I #8 Dec 19 2022 04:32:30

%S 1,-7,13,37,-181,-99,2300,-5788,-568,35480,-66280,-155716,1283293,

%T -3625851,2493973,18732949,-59514957,-61554751,951463080,-3002878824,

%U 2592617664,13134072768,-45989528256,-32014204536,686734832905

%N Let p(x) = 1063*x + 867*x^2 + 676*x^3 + 322*x^4 + 124*x^5 + 36*x^6 + 7*x^7 + x^8, expansion of the reciprocal polynomial of p(x).

%t f[x_] = 1063 x + 867 x^2 + 676 x^3 + 322 x^4 + 124 x^5 + 36 x^6 + 7 x^7 + x^8;

%t g[x] = ExpandAll[x^8*f[1/x]];

%t a = Table[SeriesCoefficient[Series[1/g[x], {x, 0, n}], n], {n, 0, 25}]

%K sign,easy,less

%O 0,2

%A _Roger L. Bagula_, Mar 17 2009