A245162 Number of length n 0..7 arrays with new values introduced in order from both ends.
1, 1, 2, 4, 9, 23, 65, 199, 654, 2296, 8569, 33825, 140581, 612933, 2795182, 13298464, 65852872, 338694406, 1805809431, 9963758843, 56805378239, 334156440067, 2025424520548, 12633195093794, 80976535864874, 532652296499548
Offset: 1
Keywords
Examples
Some solutions for n=7 ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0 ..1....0....0....1....1....1....1....1....1....0....1....0....0....1....0....1 ..0....0....1....1....0....1....2....2....1....1....1....1....0....0....0....1 ..2....0....2....0....1....1....3....1....1....0....2....1....1....0....0....1 ..0....1....1....1....1....0....2....1....1....0....1....1....1....1....0....0 ..1....1....1....0....0....1....1....1....1....1....1....1....1....0....1....0 ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Formula
Empirical: a(n) = 50*a(n-1) -1127*a(n-2) +15148*a(n-3) -135303*a(n-4) +846930*a(n-5) -3816041*a(n-6) +12508144*a(n-7) -29761816*a(n-8) +50647520*a(n-9) -59753232*a(n-10) +46142208*a(n-11) -20839680*a(n-12) +4147200*a(n-13) for n>14
Comments