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%I #6 Nov 21 2013 12:48:42
%S 0,1,5,48,705,13908,344175,10241802,356053845,14160219384,
%T 634005387675,31558667189910,1728752636180625,103346454164558580,
%U 6695045736425959575,467206351191513350130,34940050653317111866125
%N a(n)= 5*(n-1)*a(n-1) -(n-1)*a(n-2), with a(0)=0, a(1)=1.
%C This is also the (2,2) element of the product matrix after multiplying the unit matrix from the
%C left by the matrices (0,-1;j-1,5j-5) in the order j=2 to n.
%t M[n_] := {{0, -1}, {(n - 1), 5*(n - 1)}} v[1] = {0, 1} v[n_] := v[n] = M[n].v[n - 1] a = Table[Abs[v[n][[1]]], {n, 1, 25}]
%t RecurrenceTable[{a[0]==0,a[1]==1,a[n]==5(n-1)a[n-1]-(n-1)a[n-2]}, a[n], {n,20}] (* _Harvey P. Dale_, Aug 19 2011 *)
%Y Cf. A000166.
%K nonn,easy
%O 0,3
%A _Roger L. Bagula_, Jun 15 2005
%E Definition replaced by recurrence by the Associate Editors of the OEIS, Sep 28 2009