A207585 Number of nX4 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 1 1 vertically.

10, 100, 144, 432, 1014, 2232, 5000, 11220, 25392, 54436, 120350, 264846, 571576, 1256072, 2715892, 5908344, 12871320, 27788516, 60537606, 131084800, 283976596, 617015956, 1334446520, 2896207628, 6276299562, 13590377602, 29485253424

Offset

1,1

Comments

Column 4 of A207589

Links

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

Formula

Empirical: a(n) = 3*a(n-2) +12*a(n-3) -3*a(n-4) -12*a(n-5) -61*a(n-6) -4*a(n-7) -a(n-8) +197*a(n-9) +12*a(n-10) +109*a(n-11) -375*a(n-12) +7*a(n-13) -346*a(n-14) +564*a(n-15) -75*a(n-16) +480*a(n-17) -607*a(n-18) +105*a(n-19) -355*a(n-20) +466*a(n-21) -36*a(n-22) +101*a(n-23) -288*a(n-24) -9*a(n-25) +21*a(n-26) +129*a(n-27) +a(n-28) -18*a(n-29) -42*a(n-30) +2*a(n-32) +9*a(n-33) -a(n-36) for n>38

Example

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

Crossrefs

Sequence in context: A119082 A116143 A208497 * A208381 A031187 A029797

Adjacent sequences: A207582 A207583 A207584 * A207586 A207587 A207588

Keyword

nonn

Author

R. H. Hardin, Feb 19 2012

Status

approved