A268324 Number of length-(n+1) 0..5 arrays with new values introduced in sequential order, and with new repeated values introduced in sequential order, both starting with zero.

2, 4, 11, 33, 114, 434, 1806, 8052, 37851, 184910, 928406, 4752055, 24656385, 129183323, 681695654, 3616896810, 19273025959, 103063766844, 552827229141, 2973435835535, 16033214329525, 86659280236610, 469464972714177

Offset: 1

Author

R. H. Hardin, Feb 01 2016

Keywords

• nonn

Comments

Column 5 of A268327.

Examples

			Some solutions for n=10
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..0....0....0....0....1....0....0....0....0....0....0....1....0....0....0....0
..1....0....0....1....0....1....1....1....0....1....1....2....1....1....1....1
..1....1....0....2....1....2....2....2....1....1....2....0....2....1....2....2
..2....1....1....1....0....1....0....1....2....2....1....0....0....1....3....1
..3....1....2....1....0....2....3....0....0....2....3....3....1....1....4....3
..2....2....3....2....2....3....2....1....2....2....4....1....0....0....3....2
..3....3....0....1....0....4....1....1....1....2....3....2....1....1....0....4
..0....2....1....3....1....1....2....3....3....3....5....4....1....2....4....3
..2....4....3....2....2....3....4....4....1....3....0....5....0....2....1....0
..3....1....2....0....1....1....0....5....3....3....2....2....0....3....4....3
		

Links

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

Crossrefs

Cf. A268327.

Formula

Empirical: a(n) = 52*a(n-1) -1217*a(n-2) +16835*a(n-3) -151495*a(n-4) +913335*a(n-5) -3595675*a(n-6) +7981675*a(n-7) -1977562*a(n-8) -42002621*a(n-9) [phone]*a(n-10) [phone]*a(n-11) -369952047*a(n-12) [phone]*a(n-13) [phone]*a(n-14) -1016956079*a(n-15) -1168160519*a(n-16) [phone]*a(n-17) [phone]*a(n-18) -1618310265*a(n-19) -2126314760*a(n-20) [phone]*a(n-21) [phone]*a(n-22) [phone]*a(n-23) -317807648*a(n-24) -383121792*a(n-25) -161486112*a(n-26) -36051552*a(n-27) -4243968*a(n-28) -207360*a(n-29)