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A233647 Number of (n+1)X(2+1) 0..5 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 14 1

%I #4 Dec 14 2013 08:35:43

%S 772,5232,36784,272564,2012472,15071680,112180004,840367588,

%T 6267926076,46922305260,350281544876,2620797101560,19574181255752,

%U 146400460065172,1093757260135120,8178623368338420,61113653767807332,456914521395216488

%N Number of (n+1)X(2+1) 0..5 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 14

%C Column 2 of A233653

%H R. H. Hardin, <a href="/A233647/b233647.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 13*a(n-1) +60*a(n-2) -1403*a(n-3) +915*a(n-4) +60037*a(n-5) -161542*a(n-6) -1305952*a(n-7) +5581957*a(n-8) +14886303*a(n-9) -99457303*a(n-10) -65691409*a(n-11) +1070532941*a(n-12) -439804539*a(n-13) -7350827624*a(n-14) +8431876793*a(n-15) +32422650909*a(n-16) -59093935245*a(n-17) -87614113660*a(n-18) +242031773814*a(n-19) +116489014001*a(n-20) -628983746855*a(n-21) +50730140495*a(n-22) +1046367995789*a(n-23) -482503791934*a(n-24) -1075303683128*a(n-25) +846072582698*a(n-26) +610370785910*a(n-27) -745472433880*a(n-28) -117896421864*a(n-29) +344109162632*a(n-30) -46130175152*a(n-31) -71419513632*a(n-32) +22452177920*a(n-33) +3530443776*a(n-34) -1777822976*a(n-35) +30745088*a(n-36) +22653952*a(n-37) -933888*a(n-38)

%e Some solutions for n=3

%e ..1..4..1....4..1..4....5..2..0....4..2..2....0..3..1....0..3..4....3..2..3

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

%e ..0..0..2....4..1..4....5..2..0....3..3..3....0..3..1....4..3..4....3..1..3

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 14 2013

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Last modified April 25 06:14 EDT 2024. Contains 371964 sequences. (Running on oeis4.)