A207371 Number of 6Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 0 1 1 vertically

16, 256, 784, 3844, 14884, 42849, 142884, 393129, 1067089, 2839225, 7059649, 17489124, 41847961, 97970404, 226171521, 511302544, 1141764100, 2515122801, 5472448576, 11789182084, 25139688025, 53146847296, 111453819409

Offset

1,1

Comments

Row 6 of A207368

Links

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

Formula

Empirical: a(n) = 6*a(n-1) -7*a(n-2) -15*a(n-3) +4*a(n-4) +98*a(n-5) -47*a(n-6) -173*a(n-7) -95*a(n-8) +424*a(n-9) +118*a(n-10) -170*a(n-11) -483*a(n-12) +180*a(n-13) -177*a(n-14) +465*a(n-15) +110*a(n-16) +412*a(n-17) -805*a(n-18) +63*a(n-19) -392*a(n-20) +462*a(n-21) -217*a(n-22) +625*a(n-23) -324*a(n-24) +154*a(n-25) -367*a(n-26) +207*a(n-27) -225*a(n-28) +204*a(n-29) -74*a(n-30) +102*a(n-31) -82*a(n-32) +50*a(n-33) -44*a(n-34) +18*a(n-35) -11*a(n-36) +10*a(n-37) -5*a(n-38) +3*a(n-39) -a(n-40)

Example

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

Crossrefs

Sequence in context: A208685 A017570 A208121 * A208016 A208558 A207349

Adjacent sequences: A207368 A207369 A207370 * A207372 A207373 A207374

Keyword

nonn

Author

R. H. Hardin Feb 17 2012

Status

approved