A203653 1/25 the number of (n+1)X6 0..4 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements

59049, 9616161, 1780968921, 343812029649, 67213191427593, 13192335511091073, 2592476403527692089, 509649251749126118193, 100202323670442739140969, 19701512822564218199726049, 3873700712374667692894221465

Offset

1,1

Comments

Column 5 of A203656

Links

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

Formula

Empirical: a(n) = 249*a(n-1) -8592*a(n-2) -421104*a(n-3) +17434560*a(n-4) -117447936*a(n-5) -1126380544*a(n-6) +12165427200*a(n-7) -13434667008*a(n-8) -89049268224*a(n-9) +101291655168*a(n-10) +94447337472*a(n-11) -82896224256*a(n-12)

Example

Some solutions for n=4
..1..0..0..2..4..1....3..0..4..1..1..2....0..4..0..2..3..2....1..2..4..4..4..4
..1..1..0..0..2..4....1..3..0..4..1..1....0..0..3..0..2..1....1..1..2..4..1..4
..1..4..1..0..0..2....4..1..3..0..4..1....2..0..0..0..0..2....1..0..1..2..4..4
..1..1..0..2..0..0....0..4..1..3..0..4....3..2..0..3..0..0....4..1..2..0..2..4
..4..1..1..0..3..0....4..0..4..1..3..0....4..3..2..0..1..0....1..4..1..2..2..2

Crossrefs

Sequence in context: A017381 A017501 A017633 * A016762 A305931 A305934

Adjacent sequences: A203650 A203651 A203652 * A203654 A203655 A203656

Keyword

nonn

Author

R. H. Hardin Jan 04 2012

Status

approved