cp's OEIS Frontend

A183716 1/20 of the number of (n+1) X 7 0..4 arrays with every 2 X 2 subblock strictly increasing clockwise or counterclockwise with one decrease.

%I A183716 #6 Oct 06 2015 21:59:20
%S A183716 169,1797,16964,169560,1683197,16823812,168070828,1680902120,
%T A183716 16810325640,168150768145,1681983501886,16825267289824,
%U A183716 168307255896111,1683632068657357,16841927176565292,168475631338846804
%N A183716 1/20 of the number of (n+1) X 7 0..4 arrays with every 2 X 2 subblock strictly increasing clockwise or counterclockwise with one decrease.
%C A183716 Column 6 of A183719.
%F A183716 Empirical: a(n)=12*a(n-1)+41*a(n-2)-731*a(n-3)-236*a(n-4)+17377*a(n-5)-11599*a(n-6)-210068*a(n-7)+239143*a(n-8)+1435333*a(n-9)-2045028*a(n-10)-5829087*a(n-11)+9632462*a(n-12)+14361840*a(n-13)-27309714*a(n-14)-21401634*a(n-15)+48701640*a(n-16)+18436650*a(n-17)-56085498*a(n-18)-7403128*a(n-19)+42308694*a(n-20)-1027934*a(n-21)-20976128*a(n-22)+2642614*a(n-23)+6772235*a(n-24)-1305140*a(n-25)-1387863*a(n-26)+326941*a(n-27)+171884*a(n-28)-44771*a(n-29)-11807*a(n-30)+3188*a(n-31)+387*a(n-32)-103*a(n-33)-4*a(n-34)+a(n-35).
%e A183716 Some solutions for 3 X 7:
%e A183716 ..4..0..4..0..4..0..4....1..0..1..4..1..4..1....2..4..2..4..2..4..2
%e A183716 ..3..2..3..2..3..1..3....2..3..2..3..2..3..2....1..0..1..0..1..0..1
%e A183716 ..0..1..4..1..4..0..4....1..4..1..4..0..4..0....2..4..2..4..2..4..2
%e A183716 ...
%e A183716 ...R..L..R..L..R..L.......L..R..L..R..L..R.......R..L..R..L..R..L...
%e A183716 ...L..R..L..R..L..R.......R..L..R..L..R..L.......L..R..L..R..L..R...
%K A183716 nonn
%O A183716 1,1
%A A183716 _R. H. Hardin_, Jan 06 2011