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A233408 T(n,k) = Number of (n+1) X (k+1) 0..2 arrays with row and column sums nondecreasing, and no adjacent elements equal. 7
9, 11, 11, 22, 37, 22, 24, 35, 35, 24, 41, 100, 211, 100, 41, 42, 265, 360, 360, 265, 42, 66, 293, 1461, 1907, 1461, 293, 66, 65, 756, 2543, 6931, 6931, 2543, 756, 65, 97, 1937, 8732, 21765, 57941, 21765, 8732, 1937, 97, 93, 2346, 15431, 86233, 216088, 216088 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

..9...11....22......24........41........42.........66.........65........97

.11...37....35.....100.......265.......293........756.......1937......2346

.22...35...211.....360......1461......2543.......8732......15431.....46953

.24..100...360....1907......6931.....21765......86233.....274628....965494

.41..265..1461....6931.....57941....216088....1661918....6745563..44238419

.42..293..2543...21765....216088...1283251...11808072...70311171.571963910

.66..756..8732...86233...1661918..11808072..221737222.1700323455

.65.1937.15431..274628...6745563..70311171.1700323455

.97.2346.46953..965494..44238419.571963910

.93.5788.84143.3146010.186635795

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..111

FORMULA

Empirical for column k:

k=1: a(n) = 3*a(n-2) -3*a(n-4) +a(n-6).

EXAMPLE

Some solutions for n=5, k=4

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

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

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

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

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

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

CROSSREFS

Sequence in context: A172283 A172185 A098728 * A107576 A263772 A043698

Adjacent sequences:  A233405 A233406 A233407 * A233409 A233410 A233411

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 09 2013

STATUS

approved

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Last modified November 27 01:16 EST 2021. Contains 349344 sequences. (Running on oeis4.)