A268022 - OEIS

%I #5 Jan 24 2016 14:07:45

%S 27,729,13824,250047,4019679,61162984,876467493,12040481088,

%T 159131975059,2037756289752,25373307641625,308367729216000,

%U 3667582185888375,42790530532833000,490685528946353021,5539482984199419072

%N Number of nX3 0..2 arrays with every repeated value in every row greater than or equal to, and in every column greater than, the previous repeated value.

%C Column 3 of A268026.

%H R. H. Hardin, <a href="/A268022/b268022.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 56*a(n-1) -1170*a(n-2) +8532*a(n-3) +59031*a(n-4) -1349748*a(n-5) +4015908*a(n-6) +64757664*a(n-7) -463647600*a(n-8) -1255566144*a(n-9) +19457594304*a(n-10) -3621049344*a(n-11) -467191259136*a(n-12) +700630695936*a(n-13) +7110421807104*a(n-14) -15956683259904*a(n-15) -70142096572416*a(n-16) +189870895005696*a(n-17) +438443477827584*a(n-18) -1332652586041344*a(n-19) -1652114199674880*a(n-20) +5489741298401280*a(n-21) +3651168878198784*a(n-22) -12532783289204736*a(n-23) -5719659487690752*a(n-24) +15199648742375424*a(n-25) +6966505673588736*a(n-26) -7881299347898368*a(n-27) -4503599627370496*a(n-28)

%e Some solutions for n=3

%e ..1..2..1....2..2..1....0..1..2....1..1..1....2..0..2....0..1..1....0..2..2

%e ..0..0..0....2..0..1....1..2..0....0..1..0....0..2..1....0..2..0....1..1..0

%e ..1..1..2....1..1..0....0..0..0....1..2..2....2..0..2....2..1..1....2..2..2

%Y Cf. A268026.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 24 2016