A204393 Number of (n+2)X5 0..1 arrays with no 3X3 subblock having three equal diagonal elements or three equal antidiagonal elements, and new values 0..1 introduced in row major order

2952, 27378, 259808, 2196608, 19698336, 174658050, 1547710600, 13756760192, 122079933752, 1083689364402, 9620166188160, 85392166564352, 758008400004000, 6728631286807682, 59728099395382600, 530190438800064512

Offset

1,1

Comments

Column 3 of A204398

Links

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

Formula

Empirical: a(n) = 10*a(n-1) -98*a(n-3) +a(n-4) +816*a(n-5) +1344*a(n-6) -20144*a(n-7) +33980*a(n-8) -153384*a(n-9) +165632*a(n-10) +118472*a(n-11) +123156*a(n-12) -307376*a(n-13) +93760*a(n-14) +1424560*a(n-15) -1230622*a(n-16) +5645436*a(n-17) -7141376*a(n-18) -7542860*a(n-19) +1618414*a(n-20) -161200*a(n-21) +1428928*a(n-22) +1374768*a(n-23) -638900*a(n-24) -9196456*a(n-25) +9826560*a(n-26) +9895368*a(n-27) -2398428*a(n-28) -1196496*a(n-29) +278208*a(n-30) +162000*a(n-31) -64233*a(n-32) -38070*a(n-33) -5346*a(n-35) +729*a(n-36) for n>37

Example

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

Crossrefs

Sequence in context: A177087 A125907 A025514 * A178273 A289562 A054833

Adjacent sequences: A204390 A204391 A204392 * A204394 A204395 A204396

Keyword

nonn

Author

R. H. Hardin Jan 15 2012

Status

approved