A250422 Number of length 5+1 0..n arrays with the sum of the minimum of each adjacent pair multiplied by some arrangement of +-1 equal to zero.

36, 335, 1693, 5982, 16790, 39916, 84094, 161350, 287910, 484353, 776742, 1196504, 1781894, 2577507, 3636138, 5017850, 6792317, 9037401, 11842016, 15304097, 19534144, 24652517, 30793639, 38102572, 46740025, 56878092, 68706116, 82425513

Offset: 1

Author

R. H. Hardin, Nov 22 2014

Keywords

• nonn

Comments

Row 5 of A250419

Examples

			Some solutions for n=6
..3....5....3....3....4....4....4....2....2....2....3....6....2....5....0....5
..5....1....0....4....2....2....6....1....4....0....2....2....2....4....2....4
..4....2....2....6....5....1....1....0....0....0....2....2....3....2....5....6
..1....0....2....1....3....1....6....2....0....5....3....6....0....4....0....1
..3....0....3....1....6....5....6....5....2....3....4....1....6....2....4....2
..1....3....0....3....2....3....0....1....5....6....1....6....4....3....2....4
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..206

Formula

Empirical: a(n) = a(n-1) +a(n-2) +a(n-3) -4*a(n-5) -a(n-6) -a(n-7) +4*a(n-8) +4*a(n-9) -a(n-10) -a(n-11) -4*a(n-12) +a(n-14) +a(n-15) +a(n-16) -a(n-17)

Empirical for n mod 12 = 0: a(n) = (16771/3456)*n^5 - (18673/6912)*n^4 + (133891/5184)*n^3 + (689/288)*n^2 + (211/72)*n + 1

Empirical for n mod 12 = 1: a(n) = (16771/3456)*n^5 - (18673/6912)*n^4 + (133891/5184)*n^3 + (3449/1152)*n^2 + (4903/3456)*n + (74825/20736)

Empirical for n mod 12 = 2: a(n) = (16771/3456)*n^5 - (18673/6912)*n^4 + (133891/5184)*n^3 + (689/288)*n^2 + (395/144)*n + (1633/1296)

Empirical for n mod 12 = 3: a(n) = (16771/3456)*n^5 - (18673/6912)*n^4 + (133891/5184)*n^3 + (3449/1152)*n^2 + (1765/1152)*n + (953/256)

Empirical for n mod 12 = 4: a(n) = (16771/3456)*n^5 - (18673/6912)*n^4 + (133891/5184)*n^3 + (689/288)*n^2 + (649/216)*n + (92/81)

Empirical for n mod 12 = 5: a(n) = (16771/3456)*n^5 - (18673/6912)*n^4 + (133891/5184)*n^3 + (3449/1152)*n^2 + (1549/1152)*n + (76105/20736)

Empirical for n mod 12 = 6: a(n) = (16771/3456)*n^5 - (18673/6912)*n^4 + (133891/5184)*n^3 + (689/288)*n^2 + (395/144)*n + (17/16)

Empirical for n mod 12 = 7: a(n) = (16771/3456)*n^5 - (18673/6912)*n^4 + (133891/5184)*n^3 + (3449/1152)*n^2 + (5551/3456)*n + (80009/20736)

Empirical for n mod 12 = 8: a(n) = (16771/3456)*n^5 - (18673/6912)*n^4 + (133891/5184)*n^3 + (689/288)*n^2 + (211/72)*n + (97/81)

Empirical for n mod 12 = 9: a(n) = (16771/3456)*n^5 - (18673/6912)*n^4 + (133891/5184)*n^3 + (3449/1152)*n^2 + (1549/1152)*n + (889/256)

Empirical for n mod 12 = 10: a(n) = (16771/3456)*n^5 - (18673/6912)*n^4 + (133891/5184)*n^3 + (689/288)*n^2 + (1217/432)*n + (1553/1296)

Empirical for n mod 12 = 11: a(n) = (16771/3456)*n^5 - (18673/6912)*n^4 + (133891/5184)*n^3 + (3449/1152)*n^2 + (1765/1152)*n + (81289/20736)