A255036 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the central row and central column minus the two minimums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally

512, 2554, 2554, 10732, 9492, 10732, 42890, 39935, 33778, 42890, 154680, 149676, 100001, 87907, 154680, 516998, 470542, 246173, 154706, 196724, 516998, 1640073, 1327776, 566341, 281112, 256941, 407885, 1640073, 5004712, 3504157, 1217347

Offset

1,1

Comments

Table starts

......512....2554..10732..42890.154680..516998.1640073.5004712.14785630

.....2554....9492..39935.149676.470542.1327776.3504157.8592073.19523668

....10732...33778.100001.246173.566341.1217347.2396285.4226143..7066617

....42890...87907.154706.281112.474308..749830.1231466.1903222..3236146

...154680..196724.256941.340084.509796..679364.1001108.1527986..2511384

...516998..407885.346115.301745.427420..553864..819368.1126316..1771048

..1640073..794663.425667.310872.427492..546968..813888.1126442..1716252

..5004712.1460513.483327.321641.432916..587072..838084.1108752..1685408

.14785630.2583757.564619.365650.485356..613136..885048.1199594..1779292

.42521002.4473909.632901.388347.514932..661012..936028.1211228..1811032

Links

R. H. Hardin, Table of n, a(n) for n = 1..2114

Formula

Empirical for column k:

k=1: [linear recurrence of order 21] for n>27

k=2: [order 36] for n>42

k=3: [order 12] for n>23

k=4: [same order 12] for n>20

k=5: [same order 12] for n>20

k=6: [same order 12] for n>21

k=7: [same order 12] for n>20

Empirical for row n:

n=1: [same linear recurrence of order 21] for n>27

n=2: [order 50] for n>63

n=3: [order 29] for n>47

n=4: [order 22] for n>38

n=5: [order 17] for n>33

n=6: [same order 17] for n>34

n=7: [same order 17] for n>36

Example

Some solutions for n=3 k=4
..1..0..1..1..0..0....1..0..1..0..0..0....1..0..0..0..0..0....1..0..1..0..0..1
..1..0..0..0..0..0....0..0..0..0..0..1....0..0..0..0..0..1....0..1..0..0..1..1
..0..0..0..0..1..0....0..0..0..1..0..1....0..0..0..0..0..0....1..0..0..1..1..0
..0..1..1..1..1..1....1..1..0..1..1..1....0..0..0..1..1..0....0..0..1..1..1..1
..1..1..0..0..0..1....1..0..1..0..0..0....0..0..1..1..1..0....1..1..1..0..0..1

Crossrefs

Sequence in context: A254020 A254894 A254013 * A256954 A255029 A257426

Adjacent sequences: A255033 A255034 A255035 * A255037 A255038 A255039

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 13 2015

Status

approved