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 A183849 Number of (n+1)X5 0..3 arrays with each element of every 2X2 subblock being the sum mod 4 of two others 1

%I

%S 1011,7453,54724,448665,3608259,31362526,265093125,2373353909,

%T 20638236376,187666794149,1661780877723,15247254970726,

%U 136761251939361,1262026958466329,11430228141457760,105893347391922493

%N Number of (n+1)X5 0..3 arrays with each element of every 2X2 subblock being the sum mod 4 of two others

%C Column 4 of A183854

%H R. H. Hardin, <a href="/A183849/b183849.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=23*a(n-1)-9*a(n-2)-3507*a(n-3)+21096*a(n-4)+174917*a(n-5)-1900055*a(n-6)-1961167*a(n-7)+75541687*a(n-8)-127919456*a(n-9)-1579840485*a(n-10)+5777014365*a(n-11)+16616850370*a(n-12)-111097659712*a(n-13)-35392333487*a(n-14)+1211798824327*a(n-15)-1233130989796*a(n-16)-7903370136499*a(n-17)+16844625431337*a(n-18)+28729264344565*a(n-19)-111687567264255*a(n-20)-28452881458578*a(n-21)+450312030388051*a(n-22)-247590266103201*a(n-23)-1137833730709943*a(n-24)+1390913694652243*a(n-25)+1661750316286384*a(n-26)-3677312849659786*a(n-27)-780498336200130*a(n-28)+5806380843135826*a(n-29)-1822449102937708*a(n-30)-5563823547915312*a(n-31)+4089617050561760*a(n-32)+2906871136869272*a(n-33)-3917767446899248*a(n-34)-366370994803440*a(n-35)+2071375512621440*a(n-36)-468867293972480*a(n-37)-585280887597632*a(n-38)+286971758170560*a(n-39)+62114385639424*a(n-40)-66011067399680*a(n-41)+6350408017920*a(n-42)+5165343129600*a(n-43)-1516747161600*a(n-44)+116785152000*a(n-45)

%e Some solutions for 3X5

%e ..1..3..3..3..1....2..2..2..2..2....1..2..1..3..1....2..3..2..1..1

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 07 2011

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Last modified August 19 18:30 EDT 2022. Contains 356229 sequences. (Running on oeis4.)