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%I #18 May 02 2019 16:18:38
%S 0,0,3,36,300,1620,8100,44928,262440,1574640,9722592,60466176,
%T 369476640,2213827200,13162730688,78364164096,468419708160,
%U 2810089946880,16891882995456,101554796888064,609954817881600,3659728907289600,21947538146863104,131621703842267136
%N Number of strings of length n over Z_6 with trace 1 and subtrace 3.
%C Same as the number of strings of length n over Z_6 with trace 5 and subtrace 3.
%H Max Alekseyev, <a href="http://home.gwu.edu/~maxal/gpscripts/">PARI/GP scripts for miscellaneous math problems</a>
%H F. Ruskey <a href="http://combos.org/TSstringZ6">Strings over Z_6 with given trace and subtrace</a>
%F a(n; t, s) = a(n-1; t, s) + a(n-1; t+5, s+5t+1) + a(n-1; t+4, s+4t+4) + a(n-1; t+3, s+3t+3) + a(n-1; t+2, s+2t+2) + a(n-1; t+1, s+t+1) where t is the trace and s is the subtrace.
%Y Cf. A073971, A073972, A073973, A073974, A073975, A073976, A073977, A073979, A073980, A073981, A073982, A073983, A073984, A073985, A073986, A073987, A073988, A073989, A073990, A073991, A073992, A073993, A073994.
%K easy,nonn
%O 1,3
%A _Frank Ruskey_, Nate Kube, Aug 16 2002
%E Terms a(11) onward from _Max Alekseyev_, Apr 09 2013