A288232 Coefficients in the expansion of 1/([r]-[2*r]*x+[3*r]*x^2-...); []=floor, r=3*e/5.

1, 3, 5, 9, 17, 30, 52, 91, 160, 281, 494, 871, 1537, 2711, 4782, 8437, 14885, 26258, 46320, 81712, 144145, 254277, 448555, 791273, 1395843, 2462330, 4343663, 7662423, 13516866, 23844368, 42062554, 74200268, 130892661, 230900629, 407319256, 718529778

Offset: 0

Author

Clark Kimberling, Jul 11 2017

Keywords

• nonn
• easy

Comments

Conjecture: the sequence is strictly increasing.

Crossrefs

Cf. A078140 (includes guide to related sequences).

Programs

Mathematica

r = 3E/5;
u = 1000; (* # initial terms from given series *)
v = 100;   (* # coefficients in reciprocal series *)
CoefficientList[Series[1/Sum[Floor[r*(k + 1)] (-x)^k, {k, 0, u}], {x, 0, v}], x]

Formula

G.f.: 1/(Sum_{k>=0} [(k+1)*r]*(-x)^k), where r = 3*e/5 and [ ] = floor.