login
Number of length 10 primitive (=aperiodic or period 10) n-ary words.
2

%I #6 Dec 11 2014 04:14:43

%S 0,0,990,58800,1047540,9762480,60458370,282458400,1073709000,

%T 3486725280,9999899910,25937263440,61917115260,137858120400,

%U 289254116970,576649631040,1099510578960,2015992480320,3570465336750,6131063781360,10239996799620,16679876893680

%N Number of length 10 primitive (=aperiodic or period 10) n-ary words.

%H Alois P. Heinz, <a href="/A218133/b218133.txt">Table of n, a(n) for n = 0..1000</a>

%F G.f.: -30 *(x+1) *x^2 *(35*x^6 +1556*x^5 +13619*x^4 +30064*x^3 +13609*x^2 +1564*x +33) / (x-1)^11.

%F a(n) = n^10-n^5-n^2+n.

%p a:= n-> (((n^5-1)*n^3-1)*n+1)*n:

%p seq(a(n), n=0..30);

%Y Row n=10 of A143324.

%K nonn,easy

%O 0,3

%A _Alois P. Heinz_, Oct 21 2012