A202642 Number of (n+2)X5 binary arrays avoiding patterns 000 and 111 in rows, columns and nw-to-se diagonals

462, 1766, 7432, 31560, 134338, 572940, 2443538, 10435120, 44531700, 190115264, 811684628, 3465080340, 14793419426, 63158067342, 269636162320, 1151155105390, 4914626712708, 20981886699758, 89577729008448, 382433328039802

Offset

1,1

Comments

Column 3 of A202647

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +15*a(n-2) +9*a(n-3) -118*a(n-4) -238*a(n-5) +472*a(n-6) +1447*a(n-7) -1075*a(n-8) -4741*a(n-9) +1560*a(n-10) +9731*a(n-11) -1462*a(n-12) -13452*a(n-13) +1230*a(n-14) +12863*a(n-15) -1868*a(n-16) -8177*a(n-17) +3206*a(n-18) +2964*a(n-19) -3943*a(n-20) -99*a(n-21) +3247*a(n-22) -480*a(n-23) -1779*a(n-24) +260*a(n-25) +634*a(n-26) -75*a(n-27) -141*a(n-28) +13*a(n-29) +18*a(n-30) -a(n-31) -a(n-32) for n>33

Example

Some solutions for n=3
..0..0..1..1..0....0..0..1..0..1....1..0..1..1..0....0..0..1..0..0
..0..1..0..0..1....0..1..0..1..1....0..0..1..0..0....0..1..0..0..1
..1..0..0..1..0....1..1..0..1..0....1..1..0..1..1....1..0..0..1..1
..0..0..1..0..0....1..0..1..0..0....1..0..0..1..0....1..0..1..1..0
..0..1..0..1..1....0..1..0..0..1....0..1..1..0..1....0..1..0..0..1

Crossrefs

Sequence in context: A242321 A222342 A246476 * A158627 A267567 A267557

Adjacent sequences: A202639 A202640 A202641 * A202643 A202644 A202645

Keyword

nonn

Author

R. H. Hardin Dec 22 2011

Status

approved