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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 8
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

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

LINKS

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

EXAMPLE

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

CROSSREFS

Column 2 is A200770

Column 5 is A200895

Column 6 is A200930

Row 2 is A000217

Row 3 is A045947 for n>1

Sequence in context: A002186 A125936 A243614 * A286234 A161621 A095701

Adjacent sequences:  A200939 A200940 A200941 * A200943 A200944 A200945

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Nov 24 2011

STATUS

approved

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Last modified November 19 22:34 EST 2019. Contains 329323 sequences. (Running on oeis4.)