%I #9 Jul 06 2024 12:13:08

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

%T 190899322,1382958545,10480142146,82864869667,682076796009,

%U 5832741665152,51724135127267,474868970216557,4506688232943076,44151191130412991

%N Number of arrays of n 0..14 integers with new values introduced in order 0..14 but otherwise unconstrained.

%C Column 14 of A203647.

%H R. H. Hardin, <a href="/A203645/b203645.txt">Table of n, a(n) for n = 1..210</a>

%H <a href="/index/Rec#order_14">Index entries for linear recurrences with constant coefficients</a>, signature (106, -5096, 147056, -2840838, 38786748, -385081268, 2816490248, -15200266081, 59999485546, -169679309436, 331303013496, -418753514880, 303268406400, -93405312000).

%F Empirical: a(n) = 106*a(n-1) -5096*a(n-2) +147056*a(n-3) -2840838*a(n-4) +38786748*a(n-5) -385081268*a(n-6) +2816490248*a(n-7) -15200266081*a(n-8) +59999485546*a(n-9) -169679309436*a(n-10) +331303013496*a(n-11) -418753514880*a(n-12) +303268406400*a(n-13) -93405312000*a(n-14).

%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