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A288232 Coefficients in the expansion of 1/([r]-[2r]x+[3r]x^2-...); []=floor, r=3e/5. 2
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Conjecture: the sequence is strictly increasing.

LINKS

Table of n, a(n) for n=0..35.

FORMULA

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

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]

CROSSREFS

Cf. A078140 (includes guide to related sequences).

Sequence in context: A288237 A288234 A288233 * A289261 A143373 A282184

Adjacent sequences:  A288229 A288230 A288231 * A288233 A288234 A288235

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jul 11 2017

STATUS

approved

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Last modified April 9 17:48 EDT 2020. Contains 333361 sequences. (Running on oeis4.)