A268022 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.

27, 729, 13824, 250047, 4019679, 61162984, 876467493, 12040481088, 159131975059, 2037756289752, 25373307641625, 308367729216000, 3667582185888375, 42790530532833000, 490685528946353021, 5539482984199419072

Offset: 1

Author

R. H. Hardin, Jan 24 2016

Keywords

• nonn

Comments

Column 3 of A268026.

Examples

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

Links

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

Crossrefs

Cf. A268026.

Formula

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) [phone]*a(n-7) -463647600*a(n-8) -1255566144*a(n-9) [phone]*a(n-10) -3621049344*a(n-11) -467191259136*a(n-12) [phone]*a(n-13) [phone]*a(n-14) -15956683259904*a(n-15) -70142096572416*a(n-16) [phone]*a(n-17) [phone]*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)