|
%I #7 Jun 15 2016 12:35:13
%S 120,1440,6720,21504,55296,122880,245640,452880,783144,1285536,
%T 2021040,3063840,4502640,6441984,9003576,12327600,16574040,21924000,
%U 28581024,36772416,46750560,58794240,73209960,90333264,110530056
%N The sixth row of the ED1 array A167546.
%H G. C. Greubel, <a href="/A167549/b167549.txt">Table of n, a(n) for n = 1..1000</a>
%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6, -15, 20, -15, 6, -1).
%F a(n) = 11*n^5 + 0*n^4 + 209*n^3 - 264*n^2 + 308*n - 144.
%F G.f.: (120+720*z-120*z^2+384*z^3+72*z^4+144*z^5)/(1-z)^6.
%F a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6). - _G. C. Greubel_, Jun 15 2016
%t Table[11*n^5 + 209*n^3 - 264*n^2 + 308*n - 144, {n, 1, 100}] (* or *) Linearrecurrence[{6,-15,20,-15,6,-1},{120, 1440, 6720, 21504, 55296, 122880}, 100] (* _G. C. Greubel_, Jun 15 2016 *)
%Y Cf. A167546.
%K easy,nonn
%O 1,1
%A _Johannes W. Meijer_, Nov 10 2009
|
