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A267994 Number of n X 3 0..3 arrays with every repeated value in every row and column greater than or equal to the previous repeated value.

%I A267994 #8 Mar 21 2025 22:07:15
%S A267994 64,4096,262144,15625000,895841344,49592666024,2667113508032,
%T A267994 139935778112213,7186822291592000,362265820143636032,
%U A267994 17961591171915325376,877543597755135835875,42310735131943068552000,2015771069416603573521000,94997229578754633553983552,4432665766312968214889001528
%N A267994 Number of n X 3 0..3 arrays with every repeated value in every row and column greater than or equal to the previous repeated value.
%H A267994 R. H. Hardin, <a href="/A267994/b267994.txt">Table of n, a(n) for n = 1..210</a>
%F A267994 Empirical: a(n) = 330*a(n-1) -47905*a(n-2) +3985410*a(n-3) -206365510*a(n-4) +6672680586*a(n-5) -122373303195*a(n-6) +709491272490*a(n-7) +15464097908610*a(n-8) -236876565993210*a(n-9) -1206133937807799*a(n-10) +27079181195038830*a(n-11) +171391641827053440*a(n-12) -1253840968846296270*a(n-13) -18429459866602517535*a(n-14) -90975948325330554486*a(n-15) -221637111204593414265*a(n-16) -212469703253098253820*a(n-17) +162642616721395317650*a(n-18) +441153094911335071980*a(n-19) -61384992726492316804*a(n-20) -441153094911335071980*a(n-21) +162642616721395317650*a(n-22) +212469703253098253820*a(n-23) -221637111204593414265*a(n-24) +90975948325330554486*a(n-25) -18429459866602517535*a(n-26) +1253840968846296270*a(n-27) +171391641827053440*a(n-28) -27079181195038830*a(n-29) -1206133937807799*a(n-30) +236876565993210*a(n-31) +15464097908610*a(n-32) -709491272490*a(n-33) -122373303195*a(n-34) -6672680586*a(n-35) -206365510*a(n-36) -3985410*a(n-37) -47905*a(n-38) -330*a(n-39) -a(n-40).
%e A267994 Some solutions for n=2:
%e A267994 ..1..3..0....1..3..3....0..1..1....0..3..2....2..3..2....2..2..3....1..2..3
%e A267994 ..1..2..0....2..1..3....0..2..0....0..3..1....1..0..3....0..2..0....3..1..1
%Y A267994 Column 3 of A267997.
%K A267994 nonn
%O A267994 1,1
%A A267994 _R. H. Hardin_, Jan 24 2016