%I #19 Jul 11 2021 04:42:30

%S 0,5,40,255,1040,3145,7800,16835,32800,59085,100040,161095,248880,

%T 371345,537880,759435,1048640,1419925,1889640,2476175,3200080,4084185,

%U 5153720,6436435,7962720,9765725,11881480,14349015,17210480,20511265

%N a(n) = Sum_{d|5} phi(d)*n^(5/d).

%H Seiichi Manyama, <a href="/A054604/b054604.txt">Table of n, a(n) for n = 0..10000</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^5 + 4n.

%F G.f.: 5*x*(x^4+2*x^3+18*x^2+2*x+1)/(x-1)^6. [_Colin Barker_, Dec 21 2012]

%Y Row n=5 of A185651.

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_, Apr 16 2000