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A202549 T(n,k) = Number of n X k nonnegative integer arrays with each row and column an ascent sequence (interior element no greater than one plus up-steps preceding it). 6
1, 1, 1, 1, 2, 1, 1, 4, 4, 1, 1, 8, 18, 8, 1, 1, 16, 86, 86, 16, 1, 1, 32, 422, 1094, 422, 32, 1, 1, 64, 2094, 15184, 15184, 2094, 64, 1, 1, 128, 10438, 219934, 658492, 219934, 10438, 128, 1, 1, 256, 52126, 3249298, 31670778, 31670778, 3249298, 52126, 256, 1, 1, 512 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

.1...1.....1........1...........1...............1..................1

.1...2.....4........8..........16..............32.................64

.1...4....18.......86.........422............2094..............10438

.1...8....86.....1094.......15184..........219934............3249298

.1..16...422....15184......658492........31670778.........1605067272

.1..32..2094...219934....31670778......5534917394......1078490778110

.1..64.10438..3249298..1605067272...1078490778110....876480920594230

.1.128.52126.48427802.83391232150.222425177005132.794166642153146254

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..144

EXAMPLE

Some solutions for n=4, k=4

..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0

..0..1..1..1....0..1..1..0....0..0..1..1....0..1..1..0....0..1..0..1

..0..1..1..0....0..0..1..0....0..0..1..0....0..0..1..1....0..0..0..1

..0..1..2..0....0..1..2..1....0..0..1..1....0..1..1..1....0..1..1..2

CROSSREFS

Column 2 is A000079(n-1).

Column 3 is A082685(n-1).

Sequence in context: A034372 A268056 A268079 * A155971 A176480 A154218

Adjacent sequences:  A202546 A202547 A202548 * A202550 A202551 A202552

KEYWORD

nonn,tabl,changed

AUTHOR

R. H. Hardin, Dec 20 2011

STATUS

approved

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Last modified May 18 10:28 EDT 2022. Contains 353807 sequences. (Running on oeis4.)