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

 

Logo

Please make a donation to keep the OEIS running. We are now in our 56th year. In the past year we added 10000 new sequences and reached almost 9000 citations (which often say "discovered thanks to the OEIS").
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A027939 a(n) = T(2*n, n+3), T given by A027935. 1

%I

%S 1,29,247,1300,5270,18228,56967,166681,467301,1274856,3419252,9076280,

%T 23945893,62955061,165188091,432974764,1134224458,2970340412,

%U 7777628427,20363608737,53314542953,139581703056,365432651464,956718812272,2504726904937,6557465674125

%N a(n) = T(2*n, n+3), T given by A027935.

%H G. C. Greubel, <a href="/A027939/b027939.txt">Table of n, a(n) for n = 3..1000</a>

%H <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (9,-34,71,-90,71,-34,9,-1).

%F G.f.: x^3*(1+20*x+20*x^2-8*x^3-x^4) / ((1-x)^6*(1-3*x+x^2)). - _Colin Barker_, Feb 20 2016

%F a(n) = Fibonacci(2*n+7) - (195 + 186*n + 90*n^2 + 35*n^3 + 4*n^5)/15. - _G. C. Greubel_, Sep 28 2019

%p with(combinat); seq(fibonacci(2*n+7) - (195 +186*n +90*n^2 +35*n^3 +4*n^5)/15, n=3..30); # _G. C. Greubel_, Sep 28 2019

%t Table[Fibonacci[2*n+7] -(195 +186*n +90*n^2 +35*n^3 +4*n^5)/15, {n,3,30}] (* _G. C. Greubel_, Sep 28 2019 *)

%o (PARI) vector(30, n, my(m=n+2); fibonacci(2*m+7) - (195 +186*m +90*m^2 +35*m^3 +4*m^5)/15) \\ _G. C. Greubel_, Sep 28 2019

%o (MAGMA) [Fibonacci(2*n+7) - (195 +186*n +90*n^2 +35*n^3 +4*n^5)/15: n in [3..30]]; // _G. C. Greubel_, Sep 28 2019

%o (Sage) [fibonacci(2*n+7) - (195 +186*n +90*n^2 +35*n^3 +4*n^5)/15 for n in (3..30)] # _G. C. Greubel_, Sep 28 2019

%o (GAP) List([3..30], n-> Fibonacci(2*n+7) - (195 +186*n +90*n^2 +35*n^3 +4*n^5)/15 ); # _G. C. Greubel_, Sep 28 2019

%Y Cf. A000045, A027935.

%K nonn

%O 3,2

%A _Clark Kimberling_

%E Terms a(23) onward added by _G. C. Greubel_, Sep 28 2019

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 November 26 15:56 EST 2020. Contains 338640 sequences. (Running on oeis4.)