%I #11 Mar 07 2017 16:49:18

%S 1,-3,4,-4,5,-9,16,-24,34,-52,84,-132,200,-304,472,-736,1136,-1744,

%T 2688,-4160,6432,-9920,15296,-23616,36480,-56320,86912,-134144,207104,

%U -319744,493568,-761856,1176064,-1815552,2802688,-4326400,6678528,-10309632,15915008

%N Coefficients in the expansion of 1/([r] + [2r]x + [3r]x^2 + ...); [ ] = floor, r = 7/4.

%C If n >=18, then 32 divides a(n).

%H Clark Kimberling, <a href="/A279678/b279678.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (-2,-2,-2).

%F G.f.: 1/([r] + [2r]x + [3r]x^2 + ...); [ ] = floor, r = 7/4.

%F G.f.: (1 - x) (1 - x^4)/(1 + 2 x + 2 x^2 + 2 x^3).

%t z = 50; f[x_] := f[x] = Sum[Floor[(7/4)*(k + 1)] x^k, {k, 0, z}]; f[x]

%t CoefficientList[Series[1/f[x], {x, 0, z}], x]

%Y Cf. A279634, A279677.

%K sign,easy

%O 0,2

%A _Clark Kimberling_, Dec 18 2016