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

1,1

Comments

Column 5 of A268327.

Links

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

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) +99434620*a(n-10) +11892832*a(n-11) -369952047*a(n-12) +312076090*a(n-13) +749849987*a(n-14) -1016956079*a(n-15) -1168160519*a(n-16) +1710725071*a(n-17) +1710086539*a(n-18) -1618310265*a(n-19) -2126314760*a(n-20) +451613225*a(n-21) +1594319858*a(n-22) +601430554*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)

Example

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

Crossrefs

Cf. A268327.

Sequence in context: A208799 A340329 A268323 * A268325 A268326 A268320

Adjacent sequences: A268321 A268322 A268323 * A268325 A268326 A268327

Keyword

nonn

Author

R. H. Hardin, Feb 01 2016

Status

approved