A279588 - OEIS

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A279588

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

1, -3, 4, -3, -1, 8, -15, 18, -13, -3, 29, -57, 72, -56, -3, 99, -201, 256, -204, 7, 316, -665, 864, -711, 75, 987, -2148, 2830, -2373, 350, 3060, -6813, 9062, -7695, 1337, 9463, -21405, 28636, -24466, 4546, 29388, -66931, 89675, -76646, 14298, 91775

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

LINKS

Clark Kimberling, Table of n, a(n) for n = 0..1000

FORMULA

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

MATHEMATICA

z = 30; r = Sqrt[3];

f[x_] := f[x] = Sum[Floor[r*(k + 1)] x^k, {k, 0, z}]; f[x]

CoefficientList[Series[1/f[x], {x, 0, 2*z}], x]

CROSSREFS