A208713 Number of 6Xn 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 right-upward antidiagonal neighbors.

32, 2048, 67228, 2587924, 96373248, 3613193828, 135288700496, 5066922301172, 189760457060980, 7106753308593540, 266155856593675476, 9967837469474701148, 373306752240786865244, 13980758919336720329676, 523595189388352085042024

Offset

1,1

Comments

Row 6 of A208709

Links

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

Formula

Empirical: a(n) = 33*a(n-1) +263*a(n-2) -3223*a(n-3) -18036*a(n-4) +125510*a(n-5) +521961*a(n-6) -2559903*a(n-7) -7083315*a(n-8) +29279065*a(n-9) +41849338*a(n-10) -177571622*a(n-11) -69714760*a(n-12) +472051228*a(n-13) -17024841*a(n-14) -616904041*a(n-15) +139939476*a(n-16) +429455960*a(n-17) -134077368*a(n-18) -166807014*a(n-19) +56749363*a(n-20) +37221787*a(n-21) -12479641*a(n-22) -4662939*a(n-23) +1470709*a(n-24) +288889*a(n-25) -88672*a(n-26) -5330*a(n-27) +2180*a(n-28) -112*a(n-29) for n>33

Example

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

Crossrefs

Sequence in context: A302073 A302812 A303473 * A305521 A316958 A316813

Adjacent sequences: A208710 A208711 A208712 * A208714 A208715 A208716

Keyword

nonn

Author

R. H. Hardin, Mar 01 2012

Status

approved