A267731 Number of nX4 0..1 arrays with every repeated value in every row and column greater than or equal to the previous repeated value.

15, 225, 3375, 39330, 451278, 4705642, 47293550, 453985015, 4225323881, 38217977443, 337785304853, 2925589051944, 24901832826668, 208741721350212, 1726400790939232, 14108352548185285, 114068503433280219

Offset

1,1

Comments

Column 4 of A267735.

Links

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

Formula

Empirical: a(n) = 35*a(n-1) -394*a(n-2) +232*a(n-3) +25654*a(n-4) -115936*a(n-5) -717645*a(n-6) +5125019*a(n-7) +12766457*a(n-8) -121244771*a(n-9) -191484356*a(n-10) +1834417718*a(n-11) +2792153531*a(n-12) -18018352091*a(n-13) -33384924485*a(n-14) +106494035885*a(n-15) +256764018305*a(n-16) -325748093657*a(n-17) -1087241545583*a(n-18) +521256387815*a(n-19) +2786626662683*a(n-20) -415177386323*a(n-21) -4689075652721*a(n-22) +179629691969*a(n-23) +5392367300186*a(n-24) -290951802380*a(n-25) -4225877115281*a(n-26) +592280920475*a(n-27) +2150396673689*a(n-28) -541241558807*a(n-29) -652332203444*a(n-30) +234631819886*a(n-31) +111137103164*a(n-32) -54396401114*a(n-33) -9115774331*a(n-34) +7011916217*a(n-35) +58342140*a(n-36) -479433676*a(n-37) +42704816*a(n-38) +14044864*a(n-39) -2279168*a(n-40) -40960*a(n-41) +16384*a(n-42)

Example

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

Crossrefs

Cf. A267735.

Sequence in context: A189338 A189774 A189156 * A001024 A012643 A364857

Adjacent sequences: A267728 A267729 A267730 * A267732 A267733 A267734

Keyword

nonn

Author

R. H. Hardin, Jan 20 2016

Status

approved