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A203643 Number of arrays of n 0..12 integers with new values introduced in order 0..12 but otherwise unconstrained 1

%I #5 Mar 31 2012 12:36:57

%S 1,2,5,15,52,203,877,4140,21147,115975,678570,4213597,27644437,

%T 190899321,1382958439,10480136006,82864611947,682068020031,

%U 5832484170844,51717380273487,474706578749477,4503047451718545,44074082550176545

%N Number of arrays of n 0..12 integers with new values introduced in order 0..12 but otherwise unconstrained

%C Column 12 of A203647

%H R. H. Hardin, <a href="/A203643/b203643.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 79*a(n-1) -2783*a(n-2) +57695*a(n-3) -782133*a(n-4) +7284057*a(n-5) -47627789*a(n-6) +219409685*a(n-7) -703202566*a(n-8) +1519272964*a(n-9) -2082477528*a(n-10) +1606986720*a(n-11) -518918400*a(n-12)

%K nonn

%O 1,2

%A _R. H. Hardin_ Jan 04 2012

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