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A288230 Coefficients of 1/(Sum_{k>=0} [(k+1)*r](-x)^k), where r = Sqrt[5/2] and [ ] = floor. 2
1, 3, 5, 9, 18, 36, 71, 138, 268, 522, 1017, 1980, 3853, 7498, 14594, 28406, 55287, 107604, 209428, 407608, 793325, 1544042, 3005154, 5848902, 11383662, 22155913, 43121842, 83927627, 163347533, 317921733, 618768013, 1204302235, 2343921860, 4561952576 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
Conjecture: the sequence is strictly increasing.
LINKS
FORMULA
G.f.: 1/(Sum_{k>=0} [(k+1)*r)](-x)^k), where r = sqrt(5/2) and [ ] = floor.
MATHEMATICA
r = Sqrt[5/2];
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: A289912 A289914 A251704 * A289262 A288231 A279592
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Jul 10 2017
STATUS
approved

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Last modified May 26 04:31 EDT 2024. Contains 372807 sequences. (Running on oeis4.)