login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A113436 First row of A113435. 2

%I #9 Feb 20 2018 10:36:40

%S 1,2,7,26,98,371,1406,5329,20196,76532,289997,1098826,4163483,

%T 15775426,59772826,226477879,858118966,3251390237,12319431012,

%U 46677994276,176861668393,670124115506,2539082288671,9620514646154,36451871795186

%N First row of A113435.

%H G. C. Greubel, <a href="/A113436/b113436.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (7,-15,11,-1).

%F a(n) = A113435(3*n).

%F a(n) = 7*a(n-1) - 15*a(n-2) + 11*a(n-3) - a(n-4).

%F G.f.: (1 -5*x +8*x^2 -4*x^3)/(1 -7*x +15*x^2 -11*x^3 +x^4).

%t CoefficientList[Series[(1 - 5*x + 8*x^2 - 4*x^3)/(1 - 7*x + 15*x^2 - 11*x^3 + x^4), {x,0,50}], x] (* or *) LinearRecurrence[{7,-15,11,-1}, {1, 2,7,26}, 50] (* _G. C. Greubel_, Mar 10 2017 *)

%o (PARI) my(x='x+ O(x^50)); Vec((1 -5*x +8*x^2 -4*x^3)/(1 -7*x +15*x^2 -11*x^3 +x^4)) \\ _G. C. Greubel_, Mar 10 2017

%Y Cf. A113435.

%K nonn

%O 0,2

%A _Floor van Lamoen_, Nov 04 2005

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 11 18:23 EDT 2024. Contains 372411 sequences. (Running on oeis4.)