A235579 Number of (n+1)X(1+1) 0..3 arrays with the difference of the upper median and minimum value of each 2X2 subblock in lexicographically nondecreasing order rowwise and columnwise

256, 2896, 29902, 283672, 2573798, 22515040, 192101098, 1606970816, 13241328464, 107791850352, 868939726164, 6948437293776, 55190272360908, 435883708681040, 3425905431290298, 26814545618470232, 209120413244975698

Offset

1,1

Comments

Column 1 of A235582

Links

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

Formula

Empirical: a(n) = 16*a(n-1) -1088*a(n-3) +2822*a(n-4) +32220*a(n-5) -115405*a(n-6) -550832*a(n-7) +2287907*a(n-8) +6094288*a(n-9) -27451466*a(n-10) -46518640*a(n-11) +215602416*a(n-12) +255565900*a(n-13) -1144084105*a(n-14) -1037102496*a(n-15) +4127924328*a(n-16) +3118730008*a(n-17) -9990319584*a(n-18) -6756169120*a(n-19) +15678479104*a(n-20) +9914486656*a(n-21) -15072576768*a(n-22) -9022539264*a(n-23) +8159504384*a(n-24) +4603113472*a(n-25) -2141929472*a(n-26) -1129512960*a(n-27) +192675840*a(n-28) +94371840*a(n-29)

Example

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

Crossrefs

Sequence in context: A235824 A235582 A236657 * A236654 A236198 A236195

Adjacent sequences: A235576 A235577 A235578 * A235580 A235581 A235582

Keyword

nonn

Author

R. H. Hardin, Jan 12 2014

Status

approved