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A224745 T(n,k) is the number of (n+1) X (k+1) 0..1 matrices with each 2 X 2 permanent equal. 9
16, 38, 38, 89, 152, 89, 218, 565, 565, 218, 538, 2326, 2961, 2326, 538, 1349, 9554, 18257, 18257, 9554, 1349, 3410, 40297, 107665, 180546, 107665, 40297, 3410, 8690, 170754, 661569, 1644874, 1644874, 661569, 170754, 8690, 22273, 728996, 4028161 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....16.......38........89..........218............538.............1349

....38......152.......565.........2326...........9554............40297

....89......565......2961........18257.........107665...........661569

...218.....2326.....18257.......180546........1644874.........15845297

...538.....9554....107665......1644874.......21910274........316084673

..1349....40297....661569.....15845297......316084673.......6987578401

..3410...170754...4028161....149592266.....4390392346.....146736389761

..8690...728996..24772161...1430571502....62260133978....3168731910657

.22273..3120401.152077313..13614536577...873935026817...67464482340481

.57362.13387658.935846145.129950804946.12334039384018.1447369426794241

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..544

FORMULA

Empirical for column k:

k=1: a(n) = 5*a(n-1) -6*a(n-2) -3*a(n-3) +7*a(n-4) -2*a(n-5)

k=2: a(n) = 7*a(n-1) -7*a(n-2) -34*a(n-3) +59*a(n-4) +27*a(n-5) -87*a(n-6) +36*a(n-7)

k=3: [order 9]

k=4: [order 13]

k=5: [order 20]

k=6: [order 34]

k=7: [order 55]

EXAMPLE

Some solutions for n=3 k=4

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

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

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

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

CROSSREFS

Sequence in context: A116190 A070587 A275186 * A070586 A166112 A224738

Adjacent sequences:  A224742 A224743 A224744 * A224746 A224747 A224748

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Apr 17 2013

STATUS

approved

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Last modified November 28 13:47 EST 2021. Contains 349413 sequences. (Running on oeis4.)