A183902 Number of nondecreasing arrangements of n+3 numbers in 0..7 with each number being the sum mod 8 of three others.

5, 22, 243, 1160, 3347, 7416, 14376, 25584, 42852, 68552, 105736, 158272, 230997, 329888, 462252, 636936, 864558, 1157760, 1531484, 2003272, 2593591, 3326184, 4228448, 5331840, 6672312, 8290776, 10233600, 12553136, 15308281

Offset: 1

Author

R. H. Hardin Jan 07 2011

Keywords

• nonn

Comments

Column 7 of A183904

Examples

			Some solutions for n=2
..2....1....1....0....1....0....0....2....0....4....1....2....3....0....1....3
..6....5....1....0....3....0....0....2....2....4....3....2....3....0....1....5
..6....5....3....2....3....0....0....2....2....4....3....6....5....4....5....7
..6....5....5....2....3....4....0....6....4....4....7....6....7....6....5....7
..6....7....5....4....7....4....0....6....4....4....7....6....7....6....7....7
		

Formula

Empirical: a(n) = (1/5040)*n^7 + (7/720)*n^6 + (29/144)*n^5 + (329/144)*n^4 + (1259/90)*n^3 + (5167/180)*n^2 - (6955/21)*n + 312 for n>4