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 A279587 Coefficients in the expansion of 1/([r] + [2r]x + [3r]x^2 + ...); [ ] = floor, r = sqrt(2). 1

%I #4 Dec 15 2016 23:46:37

%S 1,-2,0,3,-3,0,4,-7,5,5,-16,15,2,-26,39,-19,-38,92,-77,-34,178,-220,

%T 48,293,-537,343,363,-1129,1146,94,-2050,3029,-1290,-3039,6855,-5577,

%U -2738,13513,-16417,3007,22633,-40108,24584,28535,-85117,84600,10247,-156524

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

%H Clark Kimberling, <a href="/A279587/b279587.txt">Table of n, a(n) for n = 0..1000</a>

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

%t z = 30; r = Sqrt[2];

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

%t CoefficientList[Series[1/f[x], {x, 0, 2*z}], x] (* A279587 *)

%Y Cf. A001951.

%K sign,easy

%O 0,2

%A _Clark Kimberling_, Dec 15 2016

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Last modified September 8 17:50 EDT 2024. Contains 375753 sequences. (Running on oeis4.)