login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A288231 Coefficients of 1/(Sum_{k>=0} [(k+1)*r](-x)^k), where r = 4^(1/3) and [ ] = floor. 2
1, 3, 5, 9, 18, 36, 71, 138, 268, 522, 1017, 1981, 3859, 7517, 14642, 28521, 55557, 108223, 210814, 410654, 799931, 1558224, 3035341, 5912689, 11517614, 22435718, 43703622, 85132404, 165833537, 323035186, 629255898, 1225758065, 2387713549, 4651142959 (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..33.

FORMULA

G.f.:  1/(Sum_{k>=0} [(k+1)*r)](-x)^k), where r = 4^(1/3) 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: A251704 A288230 A289262 * A279592 A288229 A293332

Adjacent sequences:  A288228 A288229 A288230 * A288232 A288233 A288234

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jul 10 2017

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 29 18:27 EDT 2020. Contains 337432 sequences. (Running on oeis4.)