A256954 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 and vertically

512, 2554, 2554, 10732, 13349, 10732, 42890, 66542, 66542, 42890, 154680, 262251, 319819, 262251, 154680, 516998, 844499, 1015815, 1015815, 844499, 516998, 1640073, 2396710, 2663867, 2782301, 2663867, 2396710, 1640073, 5004712, 6268245

Offset

1,1

Comments

Table starts

......512.....2554....10732....42890...154680...516998...1640073...5004712

.....2554....13349....66542...262251...844499..2396710...6268245..15240141

....10732....66542...319819..1015815..2663867..6028589..12037534..21294643

....42890...262251..1015815..2782301..6304044.11484877..18040804..26715881

...154680...844499..2663867..6304044.11818550.18296498..26587024..37470100

...516998..2396710..6028589.11484877.18296498.27007866..38735508..53251874

..1640073..6268245.12037534.18040804.26587024.38735508..56306098..77953860

..5004712.15240141.21294643.26715881.37470100.53251874..77953860.109071370

.14785630.34366037.35521186.40022560.53161612.73958136.108710066.152280580

.42521002.73532563.57234252.56292649.69050742.97824928.143899574.203558922

Links

R. H. Hardin, Table of n, a(n) for n = 1..1984

Formula

Empirical for column k:

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

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

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

k=4: [order 22] for n>39

k=5: [order 17] for n>35

k=6: [same order 17] for n>35

k=7: [same order 17] for n>37

Example

Some solutions for n=2 k=4
..0..0..1..0..1..1....1..1..1..0..0..0....1..0..1..0..1..0....1..0..1..0..1..1
..0..0..0..0..0..1....0..0..0..1..1..0....0..0..0..0..0..0....1..0..0..1..1..0
..1..0..0..1..1..1....1..1..0..1..1..1....1..1..0..1..1..0....0..1..0..1..1..0
..1..1..1..1..1..0....0..0..1..0..1..0....0..0..1..0..0..1....0..0..0..0..1..1

Crossrefs

Column 1 is A255029

Sequence in context: A254894 A254013 A255036 * A255029 A257426 A254242

Adjacent sequences: A256951 A256952 A256953 * A256955 A256956 A256957

Keyword

nonn,tabl

Author

R. H. Hardin, Apr 13 2015

Status

approved