A205585 Number of (n+1)X4 0..2 arrays with no 2X2 subblock having the same number of equal edges as its horizontal or vertical neighbors, and new values 0..2 introduced in row major order.

413, 4220, 48401, 541966, 6127845, 68604790, 776680394, 8702185466, 98398332311, 1103927071962, 12468958815761, 140015466501204, 1580270353473531, 17756867239461678, 200295188074165090, 2251768811108327634

Offset: 1

Author

R. H. Hardin Jan 29 2012

Keywords

• nonn

Comments

Column 3 of A205590

Examples

			Some solutions for n=4
..0..0..0..1....0..1..0..1....0..1..1..1....0..1..0..1....0..0..0..1
..0..1..2..0....1..2..2..0....0..0..2..2....2..0..0..2....2..1..0..2
..0..2..0..0....1..2..2..2....2..1..0..1....2..0..0..2....1..2..0..2
..1..0..0..0....1..0..2..2....2..1..2..0....2..1..0..1....0..0..0..1
..2..0..0..1....1..0..1..1....0..1..1..0....2..1..2..0....0..1..2..0
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 152*a(n-2) +54*a(n-3) -4718*a(n-4) +5948*a(n-5) +58946*a(n-6) -19436*a(n-7) -1353480*a(n-8) +2542842*a(n-9) +9556078*a(n-10) -27865096*a(n-11) -65567168*a(n-12) [phone]*a(n-13) [phone]*a(n-14) -538337356*a(n-15) -2112406171*a(n-16) [phone]*a(n-17) [phone]*a(n-18) -5327969682*a(n-19) -17161759910*a(n-20) [phone]*a(n-21) [phone]*a(n-22) -133698908778*a(n-23) -70192339665*a(n-24) [phone]*a(n-25) [phone]*a(n-26) -607446842940*a(n-27) -960447744408*a(n-28) -490203083736*a(n-29) -1614395098494*a(n-30) [phone]*a(n-31) [phone]*a(n-32) [phone]*a(n-33) -52628366908930*a(n-34) -13565106506052*a(n-35) [phone]*a(n-36) [phone]*a(n-37) -211447917300772*a(n-38) -114559785207888*a(n-39) [phone]*a(n-40) [phone]*a(n-41) -278114921604090*a(n-42) -53370728860004*a(n-43) [phone]*a(n-44) -19936594110316*a(n-45) -164006197905600*a(n-46) [phone]*a(n-47) [phone]*a(n-48) -16919294438944*a(n-49) -43656348058176*a(n-50) [phone]*a(n-51) [phone]*a(n-52) -4958077313728*a(n-53) -1892648379136*a(n-54) [phone]*a(n-55) [phone]*a(n-56) -31503759360*a(n-57) [phone]*a(n-58) -427900928*a(n-59) -502136832*a(n-60) for n>61