A206616 Number of (n+1)X4 0..2 arrays with every 2X3 or 3X2 subblock having no more than two equal edges, and new values 0..2 introduced in row major order.

580, 17708, 623933, 21744156, 752689692, 26135187233, 907138039901, 31481198946322, 1092605572922527, 37920364043243138, 1316071917345653001, 45675935634088583339, 1585240798851880252784, 55017771164461157130806

Offset: 1

Author

R. H. Hardin Feb 10 2012

Keywords

• nonn

Comments

Column 3 of A206621

Examples

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

Links

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

Formula

Empirical: a(n) = 37*a(n-1) -193*a(n-2) +4563*a(n-3) -26088*a(n-4) +213640*a(n-5) -2282905*a(n-6) +369531*a(n-7) [phone]*a(n-8) -119009270*a(n-9) -262257680*a(n-10) [phone]*a(n-11) [phone]*a(n-12) [phone]*a(n-13) -23957378452*a(n-14) [phone]*a(n-15) [phone]*a(n-16) -218666604368*a(n-17) [phone]*a(n-18) -85986086663*a(n-19) [phone]*a(n-20) -249999620622*a(n-21) -2694789374595*a(n-22) [phone]*a(n-23) -4527450747937*a(n-24) [phone]*a(n-25) [phone]*a(n-26) -6950215731178*a(n-27) -8616642530280*a(n-28) [phone]*a(n-29) [phone]*a(n-30) [phone]*a(n-31) -40511908730324*a(n-32) [phone]*a(n-33) -60334135799883*a(n-34) [phone]*a(n-35) -121534792363268*a(n-36) [phone]*a(n-37) [phone]*a(n-38) [phone]*a(n-39) -39985515053935*a(n-40) [phone]*a(n-41) [phone]*a(n-42) -250291599920068*a(n-43) -288209619371358*a(n-44) -184438801479103*a(n-45) [phone]*a(n-46) -59238978126303*a(n-47) [phone]*a(n-48) [phone]*a(n-49) [phone]*a(n-50) -2859191597854*a(n-51) [phone]*a(n-52) -17011926676243*a(n-53) -44327153317680*a(n-54) -19261125626130*a(n-55) -3153801775828*a(n-56) -4604960888768*a(n-57) -7048617640872*a(n-58) -822479585408*a(n-59) [phone]*a(n-60) [phone]*a(n-61) -414732129408*a(n-62) [phone]*a(n-63) -4364697600*a(n-64) -4934155008*a(n-65) [phone]*a(n-66) -33288192*a(n-67)