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A227025 T(n,k)=Number of nXk (0,1,2) arrays of permanents of 2X2 subblocks of some (n+1)X(k+1) binary array with rows and columns of the latter in lexicographically nondecreasing order 6
3, 7, 7, 12, 26, 12, 18, 72, 72, 18, 25, 171, 335, 171, 25, 33, 368, 1366, 1366, 368, 33, 42, 729, 4948, 10050, 4948, 729, 42, 52, 1343, 16115, 65317, 65317, 16115, 1343, 52, 63, 2325, 47659, 375270, 786154, 375270, 47659, 2325, 63, 75, 3819, 129463, 1924848 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

..3....7.....12.......18.........25...........33............42............52

..7...26.....72......171........368..........729..........1343..........2325

.12...72....335.....1366.......4948........16115.........47659........129463

.18..171...1366....10050......65317.......375270.......1924848.......8908719

.25..368...4948....65317.....786154......8379285......79224749.....668706345

.33..729..16115...375270....8379285....168973605....3034194621...48518491730

.42.1343..47659..1924848...79224749...3034194621..104606988712.3220901001021

.52.2325.129463..8908719..668706345..48518491730.3220901001021

.63.3819.326522.37616613.5081503151.694140800875

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..112

FORMULA

Empirical for column k:

k=1: a(n) = (1/2)*n^2 + (5/2)*n

k=2: [polynomial of degree 5] for n>2

k=3: [polynomial of degree 11] for n>6

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Column 1 is A027379

Sequence in context: A119644 A109386 A024612 * A073881 A137315 A139795

Adjacent sequences:  A227022 A227023 A227024 * A227026 A227027 A227028

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jun 27 2013

STATUS

approved

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Last modified May 15 17:50 EDT 2021. Contains 343920 sequences. (Running on oeis4.)