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 A234976 Number of (n+1)X(2+1) 0..4 arrays with every 2X2 subblock having the sum of the absolute values of the edge differences equal to 8 1

%I #4 Jan 02 2014 05:33:56

%S 1664,34862,684282,13888792,280501760,5681668040,115047739004,

%T 2330312908864,47200321992652,956076217773036,19366026413742832,

%U 392275267031625592,7945871034134733468,160950550705667889948

%N Number of (n+1)X(2+1) 0..4 arrays with every 2X2 subblock having the sum of the absolute values of the edge differences equal to 8

%C Column 2 of A234982

%H R. H. Hardin, <a href="/A234976/b234976.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 24*a(n-1) +64*a(n-2) -3343*a(n-3) +3560*a(n-4) +161202*a(n-5) -330230*a(n-6) -3637984*a(n-7) +8745716*a(n-8) +44091426*a(n-9) -112181033*a(n-10) -308357502*a(n-11) +798959758*a(n-12) +1293974001*a(n-13) -3329862899*a(n-14) -3350818614*a(n-15) +8265499178*a(n-16) +5548074149*a(n-17) -12222886511*a(n-18) -6121346759*a(n-19) +10583216048*a(n-20) +4613111977*a(n-21) -5146894678*a(n-22) -2277079715*a(n-23) +1263969238*a(n-24) +653512844*a(n-25) -105006895*a(n-26) -86462636*a(n-27) -6362555*a(n-28) +2338008*a(n-29) +347574*a(n-30) +7596*a(n-31)

%e Some solutions for n=2

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 02 2014

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Last modified February 21 22:50 EST 2024. Contains 370239 sequences. (Running on oeis4.)