A200942 T(n,k)=Number of 0..k arrays x(0..n-1) of n elements with nondecreasing average value and 0..k occur with instance counts within one of each other.

2, 3, 1, 4, 3, 2, 5, 6, 2, 1, 6, 10, 7, 7, 2, 7, 15, 17, 3, 9, 1, 8, 21, 33, 15, 17, 6, 2, 9, 28, 57, 46, 8, 40, 22, 1, 10, 36, 90, 107, 44, 61, 46, 30, 2, 11, 45, 134, 213, 151, 20, 206, 21, 20, 1, 12, 55, 190, 383, 398, 134, 214, 410, 135, 75, 2, 13, 66, 260, 636, 890, 536, 70, 1055

Offset: 1

Author

R. H. Hardin Nov 24 2011

Keywords

• nonn
• tabl

Comments

Table starts

.2..3...4...5....6.....7.....8.....9...10....11.....12......13......14.......15

.1..3...6..10...15....21....28....36...45....55.....66......78......91......105

.2..2...7..17...33....57....90...134..190...260....345.....447.....567......707

.1..7...3..15...46...107...213...383..636...997...1492....2151....3005.....4092

.2..9..17...8...44...151...398...890.1774..3246...5555....9016...14012....21005

.1..6..40..61...20...134...536..1613.4023..8842..17681...32835...57465....95825

.2.22..46.206..214....70...496..2185.7215.19783..47458..102886..206061...386953

.1.30..21.410.1055...906...212..1882.9470.34680.104386..272088..636895..1368860

.2.20.135.426.3020..5719..3748...914.8404.45418.181600..591875.1665229..4181993

.1.75.342.228.5124.22641.31522.18675.3578.38444.232486.1015624.3582100.10821987

Examples

			Some solutions for n=8 k=8
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..2....1....2....1....1....3....3....1....2....1....1....2....1....1....1....1
..1....2....1....2....8....2....2....2....4....3....7....1....2....3....2....2
..4....3....4....6....3....5....6....6....3....8....3....3....8....4....5....6
..7....8....3....5....6....7....4....4....5....5....8....8....4....2....3....3
..5....7....8....3....5....4....7....3....6....4....5....6....6....7....7....5
..8....6....5....4....4....8....8....5....7....7....4....4....5....5....4....4
..6....5....6....8....7....6....5....8....8....6....6....7....7....6....8....7
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..648

Crossrefs

Column 2 is A200770

Column 5 is A200895

Column 6 is A200930

Row 2 is A000217

Row 3 is A045947 for n>1