login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A245924 Expansion of (1-x - sqrt(1 - 14*x + x^2)) / (6*x*(1 - 14*x + x^2)). 3
1, 18, 279, 4132, 59949, 860022, 12252547, 173756232, 2456093529, 34634926810, 487525847535, 6852798238572, 96216461002117, 1349689029354558, 18918661407653979, 265016591806251664, 3710426585319049905, 51924984423522889122, 726369947645489367751, 10157588028419864394420 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Self-convolution of A245927.

Limit a(n+1)/a(n) = 7 + 4*sqrt(3).

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..870

FORMULA

a(n) ~ (26 + 15*sqrt(3)) * (7 + 4*sqrt(3))^n / 24 * (1 - 1/(3^(1/4)*sqrt(Pi*n/2))). - Vaclav Kotesovec, Aug 17 2014

EXAMPLE

G.f.: A(x) = 1 + 18*x + 279*x^2 + 4132*x^3 + 59949*x^4 + 860022*x^5 +...

MATHEMATICA

CoefficientList[Series[(1 - x - Sqrt[1 - 14*x + x^2])/(6*x*(1 - 14*x + x^2)), {x, 0, 50}], x] (* G. C. Greubel, Feb 14 2017 *)

PROG

(PARI) {a(n)=polcoeff( (1-x - sqrt(1-14*x+x^2 +x^2*O(x^n))) / (6*x*(1-14*x+x^2 +x*O(x^n))), n)}

for(n=0, 20, print1(a(n), ", "))

CROSSREFS

Cf. A245923, A245927.

Sequence in context: A115903 A004357 A249598 * A035119 A230235 A288959

Adjacent sequences:  A245921 A245922 A245923 * A245925 A245926 A245927

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Aug 16 2014

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 23 03:21 EDT 2019. Contains 328335 sequences. (Running on oeis4.)