A221405 Number of nX4 arrays of occupancy after each element stays put or moves to some horizontal or vertical neighbor, with every occupancy equal to zero or two.
4, 44, 436, 4518, 47156, 492102, 5133044, 53529806, 558164472, 5819704716, 60677191216, 632619159318, 6595610902832, 68764677891112, 716926331557236, 7474513869766556, 77927543824707370, 812454058048811426
Offset: 1
Keywords
Examples
Some solutions for n=3 ..0..2..2..0....0..2..0..2....2..2..0..2....2..2..0..2....0..2..0..0 ..2..2..0..0....0..2..0..2....0..0..0..2....0..2..0..0....2..0..0..2 ..0..0..2..2....2..0..0..2....2..2..0..0....2..0..2..0....2..2..2..0
Links
- R. H. Hardin, Table of n, a(n) for n = 1..94
Formula
Empirical: a(n) = 19*a(n-1) -110*a(n-2) +250*a(n-3) -446*a(n-4) +939*a(n-5) -1112*a(n-6) -343*a(n-7) -822*a(n-8) +692*a(n-9) +1957*a(n-10) +2810*a(n-11) -1975*a(n-12) -59*a(n-13) -2679*a(n-14) +738*a(n-15) +1088*a(n-16) +1258*a(n-17) -418*a(n-18) -562*a(n-19) +192*a(n-20) +336*a(n-21) +32*a(n-22) -32*a(n-23)
Comments