A206393 Number of nX5 0..5 arrays with no element equal to another within a city block distance of two, and new values 0..5 introduced in row major order.

5, 172, 1592, 16784, 170796, 1787258, 18574298, 193499878, 2014220262, 20973561786, 218384365724, 2274041419152, 23679689583822, 246582133806618, 2567714799158370, 26738384205646006, 278434494273903426

Offset: 1

Author

R. H. Hardin Feb 07 2012

Keywords

• nonn

Comments

Column 5 of A206396

Examples

			Some solutions for n=4
..0..1..2..3..0....0..1..2..3..4....0..1..2..0..1....0..1..2..3..4
..2..3..4..5..1....4..5..0..1..5....2..3..4..5..2....3..4..0..5..1
..5..0..1..2..3....1..2..3..4..0....1..5..0..3..4....5..2..1..4..0
..3..2..5..4..0....3..4..1..5..2....0..4..1..2..5....4..0..3..2..5
		

Links

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

Formula

Empirical: a(n) = 19*a(n-1) -28*a(n-2) -1368*a(n-3) +6837*a(n-4) +30894*a(n-5) -259715*a(n-6) -158240*a(n-7) +4305294*a(n-8) -2907345*a(n-9) -36456187*a(n-10) [phone]*a(n-11) [phone]*a(n-12) [phone]*a(n-13) -3077852142*a(n-14) -4085375360*a(n-15) [phone]*a(n-16) [phone]*a(n-17) -175557464522*a(n-18) -60798023894*a(n-19) [phone]*a(n-20) [phone]*a(n-21) -7365833614192*a(n-22) [phone]*a(n-23) [phone]*a(n-24) -74981349795094*a(n-25) [phone]*a(n-26) [phone]*a(n-27) -287857949600101*a(n-28) [phone]*a(n-29) -956324740445126*a(n-30) -738343162745785*a(n-31) +3909998344750953*a(n-32) -3355221285631341*a(n-33) -1701316400605256*a(n-34) +3179682162276913*a(n-35) -270478484532986*a(n-36) -5293044447668192*a(n-37) +25344266042370966*a(n-38) -28784566717360175*a(n-39) -17947836174493735*a(n-40) +67609956522748602*a(n-41) -101102908627491482*a(n-42) +104803692847485310*a(n-43) -57693328594689530*a(n-44) -10870560756068936*a(n-45) +69553561235094500*a(n-46) -80973326026485056*a(n-47) +47246917468719560*a(n-48) -11386765181702208*a(n-49) -2931176567684912*a(n-50) +4099580409184672*a(n-51) -2335307914381056*a(n-52) [phone]*a(n-53) [phone]*a(n-54) -93505834844160*a(n-55) [phone]*a(n-56) [phone]*a(n-57) -51588218880*a(n-58) [phone]*a(n-59) for n>63