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

1,1

Comments

Column 7 of A208269

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) +356560316*a(n-8) -276630106*a(n-9) -3595865197*a(n-10) +5253257444*a(n-11) +16399879057*a(n-12) -30419637636*a(n-13) -37486637674*a(n-14) +87632998667*a(n-15) +40083109062*a(n-16) -140235056122*a(n-17) -7589163210*a(n-18) +128111780723*a(n-19) -23221600421*a(n-20) -65939015129*a(n-21) +21868944788*a(n-22) +18307048178*a(n-23) -8259596531*a(n-24) -2431120428*a(n-25) +1497147381*a(n-26) +85285300*a(n-27) -123174410*a(n-28) +8581030*a(n-29) +3300116*a(n-30) -512304*a(n-31) +18304*a(n-32)

Example

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

Crossrefs

Sequence in context: A282314 A228984 A222385 * A184759 A324491 A107627

Adjacent sequences: A208265 A208266 A208267 * A208269 A208270 A208271

Keyword

nonn

Author

R. H. Hardin, Feb 24 2012

Status

approved