login
Number of arrays of n 0..12 integers with new values introduced in order 0..12 but otherwise unconstrained
2

%I #7 Jul 06 2024 12:09:44

%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>

%H <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (79, -2783, 57695, -782133, 7284057, -47627789, 219409685, -703202566, 1519272964, -2082477528, 1606986720, -518918400).

%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)

%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