A265925 - OEIS

%I #4 Dec 18 2015 22:34:37

%S 1252,44916,273616,1546496,8821464,51986544,309447168,1904101280,

%T 11662822720,73936333840,461379072240,2989492800168,18885457119368,

%U 124303652993736,791413858826744,5265714915850752,33682209801072272

%N Number of nX5 0..4 arrays with the absolute differences of each element with its with horizontal and antidiagonal neighbors unique.

%C Column 5 of A265928.

%H R. H. Hardin, <a href="/A265925/b265925.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 14*a(n-1) +114*a(n-2) -2416*a(n-3) -1855*a(n-4) +173910*a(n-5) -325748*a(n-6) -6792128*a(n-7) +23703581*a(n-8) +156116706*a(n-9) -782263598*a(n-10) -2103771328*a(n-11) +15368975735*a(n-12) +14058283410*a(n-13) -195305474720*a(n-14) +17084928400*a(n-15) +1657274833004*a(n-16) -1220297285976*a(n-17) -9420990684080*a(n-18) +11379059105120*a(n-19) +35043535878848*a(n-20) -55963552156032*a(n-21) -80348150064128*a(n-22) +159059277862912*a(n-23) +100278463577088*a(n-24) -247797165996032*a(n-25) -52668192727040*a(n-26) +177859657482240*a(n-27) +10696615526400*a(n-28) -42129240883200*a(n-29) -726663168000*a(n-30) +3114270720000*a(n-31) for n>39

%e Some solutions for n=2

%e ..3..3..2..4..0....3..1..1..3..4....1..1..4..4..1....3..0..4..4..0

%e ..0..2..1..3..4....4..0..0..1..1....3..3..0..1..3....1..1..3..3..1

%Y Cf. A265928.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 18 2015