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A201072 T(n,k)=Number of nXk 0..6 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other 8
7, 21, 21, 35, 70, 35, 35, 35, 35, 35, 21, 77, 514, 77, 21, 7, 749, 2611, 2611, 749, 7, 1, 972, 3937, 22440, 3937, 972, 1, 7, 127, 50334, 43308, 43308, 50334, 127, 7, 21, 3034, 4448, 1127514, 2250982, 1127514, 4448, 3034, 21, 35, 7161, 381982, 175865 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

..7...21......35........35.........21.............7.............1

.21...70......35........77........749...........972...........127

.35...35.....514......2611.......3937.........50334..........4448

.35...77....2611.....22440......43308.......1127514........175865

.21..749....3937.....43308....2250982......11512566.......3558888

..7..972...50334...1127514...11512566......45244488......76714325

..1..127....4448....175865....3558888......76714325....1001060834

..7.3034..381982..20393189..473983329....4070916182...13053459189

.21.7161..206357..14766300.4102010820...93433967419..126679336122

.35.2170.1377351.158314010.3773723044.1001816580924.1146503112430

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..143

FORMULA

T(n,1) = binomial(7,n modulo 7). For a 0..z array, T(n,1) = binomial(z+1, n modulo (z+1)).

EXAMPLE

Some solutions for n=3 k=7

..0..0..1..1..3..4..5....0..0..1..1..3..4..4....0..0..1..1..2..4..4

..0..2..2..3..4..5..6....0..2..2..3..3..5..6....0..1..3..3..4..5..5

..1..2..3..4..5..6..6....1..2..4..5..5..6..6....2..2..3..5..6..6..6

CROSSREFS

Sequence in context: A266048 A233331 A158280 * A200935 A097182 A058525

Adjacent sequences:  A201069 A201070 A201071 * A201073 A201074 A201075

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Nov 26 2011

STATUS

approved

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Last modified March 19 15:02 EDT 2019. Contains 321330 sequences. (Running on oeis4.)