A208268 Number of nX7 0..1 arrays with new values 0..1 introduced in row major order and no element equal to more than two of its immediate leftward or upward or left-upward diagonal neighbors.

64, 4021, 273205, 18403423, 1240971177, 83670667271, 5641457245533, 380372051615157, 25646375739266275, 1729192685453990877, 116589859961103508219, 7861006788319434001589, 530024032549172830292655

Offset: 1

Author

R. H. Hardin Feb 24 2012

Keywords

• nonn

Comments

Column 7 of A208269

Examples

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

Links

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

Formula

Empirical: a(n) = 77*a(n-1) -429*a(n-2) -16791*a(n-3) +132938*a(n-4) +1140609*a(n-5) -11250708*a(n-6) -21101443*a(n-7) [phone]*a(n-8) -276630106*a(n-9) -3595865197*a(n-10) [phone]*a(n-11) [phone]*a(n-12) -30419637636*a(n-13) -37486637674*a(n-14) [phone]*a(n-15) [phone]*a(n-16) -140235056122*a(n-17) -7589163210*a(n-18) [phone]*a(n-19) -23221600421*a(n-20) -65939015129*a(n-21) [phone]*a(n-22) [phone]*a(n-23) -8259596531*a(n-24) -2431120428*a(n-25) [phone]*a(n-26) [phone]*a(n-27) -123174410*a(n-28) +8581030*a(n-29) +3300116*a(n-30) -512304*a(n-31) +18304*a(n-32)