A267731 - OEIS

%I #4 Jan 20 2016 07:04:28

%S 15,225,3375,39330,451278,4705642,47293550,453985015,4225323881,

%T 38217977443,337785304853,2925589051944,24901832826668,

%U 208741721350212,1726400790939232,14108352548185285,114068503433280219

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

%C Column 4 of A267735.

%H R. H. Hardin, <a href="/A267731/b267731.txt">Table of n, a(n) for n = 1..210</a>

%F 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)

%e Some solutions for n=4

%e ..1..1..0..1....1..0..0..1....0..0..1..1....1..1..1..0....0..1..0..1

%e ..0..1..1..1....0..0..0..0....0..1..0..0....0..1..0..0....0..1..1..0

%e ..0..0..0..1....0..0..1..1....1..0..1..1....1..0..0..0....1..1..1..1

%e ..1..1..1..0....0..0..1..1....1..1..1..0....0..1..1..0....0..0..0..0

%Y Cf. A267735.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 20 2016