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

1,1

Comments

Column 7 of A183904

Links

Table of n, a(n) for n=1..29.

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

Example

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

Crossrefs

Sequence in context: A066866 A115657 A066865 * A005632 A183408 A298322

Adjacent sequences: A183899 A183900 A183901 * A183903 A183904 A183905

Keyword

nonn

Author

R. H. Hardin Jan 07 2011

Status

approved