A236593 Number of (n+1) X (1+1) 0..3 arrays colored with the maximum plus the lower median minus the upper median of every 2 X 2 subblock.

256, 2680, 28462, 299860, 3170170, 33464862, 353620413, 3734464032, 39448646936, 416653521044, 4401066032032, 46485719000108, 491011136574116, 5186295545628364, 54780587232716552, 578621140400638560

Offset

1,1

Comments

Column 1 of A236596.

Links

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

Formula

Empirical: a(n) = 228*a(n-3) +4444*a(n-4) +26860*a(n-5) +199516*a(n-6) +996364*a(n-7) +3705320*a(n-8) +13499808*a(n-9) +25601888*a(n-10) +14952840*a(n-11) -130642448*a(n-12) -962412704*a(n-13) -2466578880*a(n-14) -4035028800*a(n-15) -1747881600*a(n-16) +22863611776*a(n-17) +64446978816*a(n-18) +95058119168*a(n-19) +30350067968*a(n-20) -286392538112*a(n-21) -480382513152*a(n-22) -374780002304*a(n-23) -81963192320*a(n-24) +870991036416*a(n-25) +896862126080*a(n-26) +197175607296*a(n-27) +243228475392*a(n-28) -140043091968*a(n-29) -70948749312*a(n-30).

Example

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

Crossrefs

Cf. A236596.

Sequence in context: A235815 A235749 A236596 * A236319 A236315 A205422

Adjacent sequences: A236590 A236591 A236592 * A236594 A236595 A236596

Keyword

nonn

Author

R. H. Hardin, Jan 29 2014

Status

approved