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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 8
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified May 25 04:05 EDT 2022. Contains 354048 sequences. (Running on oeis4.)