A241331 Number of 4Xn 0..3 arrays with no element equal to fewer vertical neighbors than horizontal neighbors, with new values 0..3 introduced in row major order.

15, 1030, 95144, 8949808, 842185933, 79254376889, 7458275852500, 701865426977495, 66049458199029896, 6215623102818695436, 584924867215713568482, 55044698604373555829472, 5180013732180082600538625

Offset: 1

Author

R. H. Hardin, Apr 19 2014

Keywords

• nonn

Comments

Row 4 of A241328

Examples

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

Links

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

Formula

Empirical: a(n) = 122*a(n-1) -2812*a(n-2) +16208*a(n-3) +159379*a(n-4) -2909948*a(n-5) [phone]*a(n-6) -62373244*a(n-7) -58088806*a(n-8) [phone]*a(n-9) -5096351523*a(n-10) -3055067884*a(n-11) [phone]*a(n-12) -73039493422*a(n-13) -301989142269*a(n-14) [phone]*a(n-15) -745735386949*a(n-16) -844626880720*a(n-17) [phone]*a(n-18) -1929013979294*a(n-19) -1045472186222*a(n-20) [phone]*a(n-21) [phone]*a(n-22) -2355373350354*a(n-23) -3690081020076*a(n-24) [phone]*a(n-25) -2089000784295*a(n-26) -4919238685854*a(n-27) [phone]*a(n-28) -566304913242*a(n-29) -920941508979*a(n-30) [phone]*a(n-31) -424728198324*a(n-32) -322761834*a(n-33) [phone]*a(n-34) -53052692148*a(n-35) [phone]*a(n-36) for n>38