A279594 Coefficients in the expansion of 1/([r] + [2r]x + [3r]x^2 + ...); [ ] = floor, r = sqrt(6)/2.

1, -2, 1, 0, -1, 3, -3, 1, 0, -1, 3, -3, 2, -4, 5, -1, -3, 7, -14, 15, -6, -2, 8, -18, 22, -17, 18, -17, -4, 29, -47, 69, -71, 28, 24, -63, 110, -136, 109, -76, 36, 76, -213, 296, -348, 316, -92, -215, 455, -664, 767, -595, 270, 102, -697, 1383, -1745, 1742

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(6)/2.

Mathematica

z = 30; r = Sqrt[6]/2;
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(6)/2;
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: A286509 A213887 A279589 * A335162 A077593 A363778

Adjacent sequences: A279591 A279592 A279593 * A279595 A279596 A279597

Keyword

sign,easy

Author

Clark Kimberling, Dec 16 2016

Status

approved