A203374 Number of (n+1) X 5 0..1 arrays with every 2 X 2 subblock having equal diagonal elements or equal antidiagonal elements.

324, 3412, 36300, 387324, 4136292, 44183028, 471988172, 5042151644, 53864590276, 575428804372, 6147238485228, 65670238411324, 701547599923492, 7494552376793140, 80063441950649100, 855308552375931036

Offset

1,1

Comments

Column 4 of A203378.

Links

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

Formula

Empirical: a(n) = 16*a(n-1) -65*a(n-2) +92*a(n-3) -48*a(n-4) +8*a(n-5).

Empirical g.f.: 4*x*(81 - 443*x + 692*x^2 - 376*x^3 + 64*x^4) / (1 - 16*x + 65*x^2 - 92*x^3 + 48*x^4 - 8*x^5). - Colin Barker, Jun 04 2018

Example

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

Crossrefs

Cf. A203378.

Sequence in context: A250437 A064197 A233639 * A183358 A128381 A128992

Adjacent sequences: A203371 A203372 A203373 * A203375 A203376 A203377

Keyword

nonn

Author

R. H. Hardin, Dec 31 2011

Status

approved