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Number of (n+1)X(4+1) 0..2 arrays with the maximum plus the minimum of every 2X2 subblock equal
1

%I #4 Feb 19 2014 07:44:20

%S 13447,938601,62220767,4299264833,296231759327,20477016435713,

%T 1415323543601575,97848393158941641,6764755034298286359,

%U 467691084078389841001,32334523298486930205287,2235499269848346646569273

%N Number of (n+1)X(4+1) 0..2 arrays with the maximum plus the minimum of every 2X2 subblock equal

%C Column 4 of A238180

%H R. H. Hardin, <a href="/A238176/b238176.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 135*a(n-1) -5666*a(n-2) +61087*a(n-3) +1811543*a(n-4) -55590889*a(n-5) +352769713*a(n-6) +5582536888*a(n-7) -104470781270*a(n-8) +487448649054*a(n-9) +2179031140368*a(n-10) -30063665317790*a(n-11) +62605540932430*a(n-12) +482468790013718*a(n-13) -2606364484725106*a(n-14) -633046157904300*a(n-15) +33525561430591827*a(n-16) -59418858719373877*a(n-17) -174070308557254966*a(n-18) +679977171418549239*a(n-19) +2889948029292187*a(n-20) -3139041059531921197*a(n-21) +3793176658858576985*a(n-22) +5377082366413161148*a(n-23) -15058190740573860988*a(n-24) +4079528418313301968*a(n-25) +19896306371658868272*a(n-26) -22029910115153395264*a(n-27) -860405226659909184*a(n-28) +15766791394668619264*a(n-29) -10495879036828792832*a(n-30) +1726046453512605696*a(n-31) +751029229729218560*a(n-32) -317093701446008832*a(n-33) +30377305524142080*a(n-34)

%e Some solutions for n=1

%e ..1..0..1..1..0....1..2..0..2..2....1..1..0..1..2....1..2..0..0..2

%e ..0..2..0..2..1....0..0..2..0..0....0..2..0..2..0....1..0..2..2..1

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 19 2014