A207097 Number of 0..5 arrays x(0..n-1) of n elements with each no smaller than the sum of its two previous neighbors modulo 6.

6, 21, 75, 274, 989, 3579, 12964, 46952, 170076, 616065, 2231527, 8083084, 29278684, 106053662, 384149029, 1391469865, 5040201168, 18256685634, 66129616610, 239535602559, 867649138787, 3142810588438, 11383931537547, 41235032657415

Offset: 1

Author

R. H. Hardin Feb 15 2012

Keywords

• nonn

Comments

Column 5 of A207100

Examples

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

Links

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

Formula

Empirical: a(n) = 4*a(n-1) -4*a(n-3) -5*a(n-4) +4*a(n-5) +6*a(n-6) -a(n-7) +a(n-8) -6*a(n-9) -4*a(n-10) -6*a(n-11) +9*a(n-12) +2*a(n-13) -3*a(n-14) +2*a(n-15) +5*a(n-16) +7*a(n-17) -6*a(n-18) +a(n-19) -3*a(n-20) +2*a(n-21) +a(n-22) +3*a(n-23) -a(n-24) -4*a(n-25) +a(n-26) -2*a(n-27) +a(n-28) -a(n-29) +a(n-30) -a(n-31) -a(n-32) -a(n-36)