A234147 - OEIS

%I #6 May 09 2021 20:40:15

%S 1264,13936,158812,1920340,23565328,292681764,3649331396,45615539600,

%T 570694277160,7143825942232,89442049322768,1119974200114072,

%U 14024590625718520,175625103897490080,2199303275432206652

%N Number of (n+1) X (2+1) 0..5 arrays with every 2 X 2 subblock having the sum of the absolute values of the edge differences equal to 10 and no adjacent elements equal.

%C Column 2 of A234152.

%H R. H. Hardin, <a href="/A234147/b234147.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 10*a(n-1) +188*a(n-2) -1705*a(n-3) -13231*a(n-4) +115068*a(n-5) +493976*a(n-6) -4229448*a(n-7) -11190946*a(n-8) +96334439*a(n-9) +164224925*a(n-10) -1453766839*a(n-11) -1614673985*a(n-12) +15099553644*a(n-13) +10806854528*a(n-14) -110319519409*a(n-15) -49482794946*a(n-16) +573293794815*a(n-17) +155510560962*a(n-18) -2125916423322*a(n-19) -344648421788*a(n-20) +5607869207405*a(n-21) +602950452380*a(n-22) -10426809489560*a(n-23) -1017179390188*a(n-24) +13440589196562*a(n-25) +1660271297890*a(n-26) -11680287015490*a(n-27) -2067440715994*a(n-28) +6524300789888*a(n-29) +1631686761052*a(n-30) -2149016060048*a(n-31) -727542691768*a(n-32) +347865584016*a(n-33) +160185863728*a(n-34) -13689852000*a(n-35) -13226096640*a(n-36) -1457602560*a(n-37)

%e Some solutions for n=3

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

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

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

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

%Y Cf. A234152.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 20 2013