A267669 Number of 4Xn 0..1 arrays with every repeated value in every row unequal to the previous repeated value, and in every column equal to the previous repeated value, and new values introduced in row-major sequential order.

7, 98, 453, 3143, 10933, 60401, 188301, 951113, 2812057, 13690793, 39294261, 188823533, 531699829, 2551208657, 7083277713, 34139004377, 93677247421, 454955695853, 1235099875965, 6055154070065, 16269918251065, 80602553434841

Offset

1,1

Comments

Row 4 of A267667.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) +46*a(n-2) -255*a(n-3) -804*a(n-4) +5287*a(n-5) +6393*a(n-6) -57990*a(n-7) -17379*a(n-8) +368289*a(n-9) -70362*a(n-10) -1394997*a(n-11) +645844*a(n-12) +3138583*a(n-13) -1858369*a(n-14) -4077534*a(n-15) +2440404*a(n-16) +2940332*a(n-17) -1387260*a(n-18) -1138872*a(n-19) +275184*a(n-20) +183456*a(n-21)

Example

Some solutions for n=7
..0..1..0..0..1..0..1....0..1..0..1..1..0..0....0..0..1..0..1..0..1
..0..0..1..0..1..1..0....0..0..1..0..1..0..1....0..1..0..1..1..0..0
..1..0..1..0..1..0..1....0..1..0..1..1..0..0....1..0..1..0..1..0..0
..0..1..1..0..1..0..0....0..1..1..0..0..1..0....0..0..1..0..1..0..1

Crossrefs

Cf. A267667.

Sequence in context: A022008 A200504 A267641 * A288681 A124092 A036293

Adjacent sequences: A267666 A267667 A267668 * A267670 A267671 A267672

Keyword

nonn

Author

R. H. Hardin, Jan 19 2016

Status

approved