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!)
A288135 Coefficients of 1/(Sum_{k>=0} [(k+1)*r](-x)^k), where r = sqrt[7/3] and [ ] = floor. 1
1, 3, 5, 9, 18, 36, 72, 144, 288, 576, 1152, 2304, 4608, 9216, 18432, 36864, 73728, 147456, 294911, 589818, 1179628, 2359242, 4718457, 9436860, 18873612, 37747008, 75493584, 150986304, 301970880, 603938304, 1207869696, 2415725568, 4831423488, 9662791680 (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 = sqrt(7/3) and [ ] = floor.

MATHEMATICA

r = Sqrt[7/3];

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: A279592 A288229 A293332 * A279634 A028411 A018098

Adjacent sequences:  A288132 A288133 A288134 * A288136 A288137 A288138

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 October 1 17:45 EDT 2020. Contains 337444 sequences. (Running on oeis4.)