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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.
1
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
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
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 01 2016
STATUS
approved