%I #9 Jul 06 2024 12:11:40
%S 1,2,5,15,52,203,877,4140,21147,115975,678570,4213597,27644437,
%T 190899322,1382958544,10480142026,82864861847,682076428809,
%U 5832727748374,51723682798067,474855882753977,4506342616999876,44142711725983660
%N Number of arrays of n 0..13 integers with new values introduced in order 0..13 but otherwise unconstrained.
%H R. H. Hardin, <a href="/A203644/b203644.txt">Table of n, a(n) for n = 1..210</a>
%H <a href="/index/Rec#order_13">Index entries for linear recurrences with constant coefficients</a>, signature (92, -3809, 93808, -1530243, 17419116, -141963107, 835933384, -3542188936, 10614910592, -21727767984, 28528276608, -21289201920, 6706022400).
%F Empirical: a(n) = 92*a(n-1) -3809*a(n-2) +93808*a(n-3) -1530243*a(n-4) +17419116*a(n-5) -141963107*a(n-6) +835933384*a(n-7) -3542188936*a(n-8) +10614910592*a(n-9) -21727767984*a(n-10) +28528276608*a(n-11) -21289201920*a(n-12) +6706022400*a(n-13).
%F Empirical formula confirmed by extension of first ten columns, see A203641. - _Ray Chandler_, Jul 06 2024
%Y Column 13 of A203647.
%Y Cf. A203641.
%K nonn
%O 1,2
%A _R. H. Hardin_, Jan 04 2012