A203376 Number of (n+1)X7 0..1 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements

2916, 70996, 1764360, 44183028, 1109832180, 27913330472, 702420750924, 17679917387404, 445045123432096, 11203277447970636, 282028756620227124, 7099777698513424920, 178729975670304808348, 4499358353656818662428

Offset

1,1

Comments

Column 6 of A203378

Links

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

Formula

Empirical: a(n) = 55*a(n-1) -1109*a(n-2) +11330*a(n-3) -67206*a(n-4) +247404*a(n-5) -582440*a(n-6) +881876*a(n-7) -846764*a(n-8) +499200*a(n-9) -172400*a(n-10) +33152*a(n-11) -3264*a(n-12) +128*a(n-13)

Example

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

Crossrefs

Sequence in context: A250953 A334002 A344474 * A183360 A209046 A209018

Adjacent sequences: A203373 A203374 A203375 * A203377 A203378 A203379

Keyword

nonn

Author

R. H. Hardin Dec 31 2011

Status

approved