cp's OEIS Frontend

A265923 Number of n X 3 0..4 arrays with the absolute differences of each element with its with horizontal and antidiagonal neighbors unique.

%I A265923 #9 Apr 06 2025 11:30:38
%S A265923 92,1740,17936,174000,1671744,15962560,152267520,1451371264,
%T A265923 13834836992,131883277312,1257236156416,11986527891456,
%U A265923 114277874876416,1089597587963904,10388632576131072,99054000222699520,944443268554031104,9005175397018238976,85862124616319762432
%N A265923 Number of n X 3 0..4 arrays with the absolute differences of each element with its with horizontal and antidiagonal neighbors unique.
%H A265923 R. H. Hardin, <a href="/A265923/b265923.txt">Table of n, a(n) for n = 1..210</a>
%F A265923 Empirical: a(n) = 8*a(n-1) +96*a(n-2) -736*a(n-3) -2464*a(n-4) +20480*a(n-5) +13312*a(n-6) -196096*a(n-7) +78592*a(n-8) +600064*a(n-9) -589824*a(n-10) for n>13.
%e A265923 Some solutions for n=4:
%e A265923 ..1..4..0....2..3..1....2..1..3....1..4..4....0..0..3....0..4..1....2..4..0
%e A265923 ..2..3..1....0..0..4....1..0..4....0..1..3....1..1..2....2..1..4....4..0..3
%e A265923 ..3..1..4....3..4..0....2..1..3....1..0..0....4..0..0....3..4..0....2..1..1
%e A265923 ..2..0..1....1..0..4....1..4..0....2..3..1....3..2..2....2..2..1....4..3..3
%Y A265923 Column 3 of A265928.
%K A265923 nonn
%O A265923 1,1
%A A265923 _R. H. Hardin_, Dec 18 2015