A279595 Coefficients in the expansion of 1/([r] + [2r]x + [3r]x^2 + ...); [ ] = floor, r = sqrt(e).

1, -3, 5, -9, 17, -30, 52, -91, 160, -281, 493, -865, 1518, -2664, 4675, -8204, 14397, -25265, 44337, -77805, 136534, -239592, 420441, -737798, 1294700, -2271961, 3986877, -6996242, 12277127, -21544115, 37805987, -66342603, 116419152, -204294349, 358499270

Offset

0,2

Links

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

Formula

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

Mathematica

z = 30; r = Sqrt[E];
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]

Prog

(PARI) r = sqrt(exp(1));
Vec(1/sum(k=0, 60, floor(r*(k + 1))*x^k) + O(x^61)) \\ Indranil Ghosh, Mar 30 2017

Crossrefs

Cf. A279607.

Sequence in context: A078140 A279780 A289260 * A288235 A288236 A288237

Adjacent sequences: A279592 A279593 A279594 * A279596 A279597 A279598

Keyword

sign,easy

Author

Clark Kimberling, Dec 16 2016

Status

approved