A203919 Number of (n+2)X6 0..1 arrays with every 3X3 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..1 introduced in row major order

5000, 21632, 75272, 262088, 916658, 3220722, 11309768, 39783200, 139846088, 491348552, 1725311282, 6060344418, 21285209138, 74766898208, 262625483282, 922568228082, 3240635377778, 11383319836800, 39985279887938

Offset

1,1

Comments

Column 4 of A203923

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +4*a(n-2) +21*a(n-4) -44*a(n-5) +77*a(n-6) +158*a(n-7) -83*a(n-8) -645*a(n-9) +64*a(n-10) -2301*a(n-11) -3155*a(n-12) +1580*a(n-13) +6476*a(n-14) +55*a(n-15) +15516*a(n-16) +19296*a(n-17) -747*a(n-18) -810*a(n-19) -5913*a(n-20) -75627*a(n-21) -49815*a(n-22) +27054*a(n-23) -243*a(n-24) +19926*a(n-25) +11664*a(n-26) +10935*a(n-27) -6561*a(n-28) for n>29

Example

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

Crossrefs

Sequence in context: A157367 A200910 A035901 * A035787 A108011 A018188

Adjacent sequences: A203916 A203917 A203918 * A203920 A203921 A203922

Keyword

nonn

Author

R. H. Hardin Jan 07 2012

Status

approved