A235675 Number of (n+1)X(4+1) 0..1 arrays with the difference between each 2X2 subblock maximum and minimum lexicographically nondecreasing columnwise and nonincreasing rowwise

742, 15790, 330840, 6894210, 143484144, 2985166430, 62100488254, 1291848133836, 26873571586520, 559034577488572, 11629252189546650, 241916151493365248, 5032432178704803216, 104686575579504167834, 2177730111458692702436

Offset

1,1

Comments

Column 4 of A235679

Links

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

Formula

Empirical: a(n) = 25*a(n-1) -56*a(n-2) -760*a(n-3) +1870*a(n-4) +9093*a(n-5) -19671*a(n-6) -53908*a(n-7) +96797*a(n-8) +165297*a(n-9) -249510*a(n-10) -263103*a(n-11) +342224*a(n-12) +215121*a(n-13) -241863*a(n-14) -95529*a(n-15) +88208*a(n-16) +23290*a(n-17) -16128*a(n-18) -2854*a(n-19) +1362*a(n-20) +136*a(n-21) -40*a(n-22)

Example

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

Crossrefs

Sequence in context: A044984 A252576 A188483 * A235445 A349677 A119595

Adjacent sequences: A235672 A235673 A235674 * A235676 A235677 A235678

Keyword

nonn

Author

R. H. Hardin, Jan 13 2014

Status

approved