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Number of arrays of n 0..11 integers with new values introduced in order 0..11 but otherwise unconstrained
2

%I #7 Jul 06 2024 12:07:32

%S 1,2,5,15,52,203,877,4140,21147,115975,678570,4213597,27644436,

%T 190899230,1382953889,10479970386,82859701769,681942165393,

%U 5829591731684,51656311613107,473501669531146,4480550589850064,43672799989835155

%N Number of arrays of n 0..11 integers with new values introduced in order 0..11 but otherwise unconstrained

%C Column 11 of A203647

%H R. H. Hardin, <a href="/A203642/b203642.txt">Table of n, a(n) for n = 1..210</a>

%H <a href="/index/Rec#order_11">Index entries for linear recurrences with constant coefficients</a>, signature (67, -1980, 33990, -375573, 2795331, -14241590, 49412660, -113667576, 163671552, -131172480, 43545600).

%F Empirical: a(n) = 67*a(n-1) -1980*a(n-2) +33990*a(n-3) -375573*a(n-4) +2795331*a(n-5) -14241590*a(n-6) +49412660*a(n-7) -113667576*a(n-8) +163671552*a(n-9) -131172480*a(n-10) +43545600*a(n-11)

%F Empirical formula confirmed by extension of first ten columns, see A203641. - _Ray Chandler_, Jul 06 2024

%Y Cf. A203641.

%K nonn

%O 1,2

%A _R. H. Hardin_ Jan 04 2012