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%I #19 Sep 08 2022 08:45:45
%S 0,4,743,6732,30046,94100,237429,517468,1014332,1834596,3115075,
%T 5026604,7777818,11618932,16845521,23802300,32886904,44553668,
%U 59317407,77757196,100520150,128325204,161966893,202319132,250338996,307070500,373648379
%N 4*P_5(n), 4 times the Legendre Polynomial of order 5 at n.
%H G. C. Greubel, <a href="/A160737/b160737.txt">Table of n, a(n) for n = 0..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) = n*(63*n^4-70*n^2+15)/2. - _Vaclav Kotesovec_, Jul 31 2013
%F G.f.: x*(4+719*x+2334*x^2+719*x^3+4*x^4) / (x-1)^6 . - _R. J. Mathar_, May 06 2016
%p A160737 := proc(n)
%p 4*orthopoly[P](5,n) ;
%p end proc: # _R. J. Mathar_, Oct 24 2011
%t Table[4 LegendreP[5,n],{n,0,50}]
%o (PARI) a(n)=4*pollegendre(5,n) \\ _Charles R Greathouse IV_, Mar 18 2017
%o (Magma) [n*(63*n^4-70*n^2+15)/2: n in [0..30]]; // _G. C. Greubel_, May 02 2018
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_, Nov 17 2009
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