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A183902 Number of nondecreasing arrangements of n+3 numbers in 0..7 with each number being the sum mod 8 of three others 0
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified February 26 21:58 EST 2020. Contains 332295 sequences. (Running on oeis4.)