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%I #17 May 02 2019 16:18:15
%S 0,0,3,48,300,1620,9072,48384,262440,1555200,9722592,60466176,
%T 367960320,2207761920,13162730688,78399995904,468419708160,
%U 2810089946880,16894457846784,101565116448768,609954817881600,3659666929459200,21947538146863104,131621703842267136
%N Number of strings of length n over Z_6 with trace 1 and subtrace 5.
%C Same as the number of strings of length n over Z_6 with trace 5 and subtrace 5.
%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, A073978, A073979, A073980, A073981, A073983, A073984, A073985, A073986, A073987, A073988, A073989, A073990, A073991, A073992, A073993, A073994.
%K easy,nonn
%O 1,3
%A _Frank Ruskey_ and Nate Kube, Aug 16 2002
%E Terms a(11) onward from _Max Alekseyev_, Apr 09 2013
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