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A258522 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two sums of the central column and central row nondecreasing horizontally and vertically 5
512, 2371, 2371, 6516, 7334, 6516, 16196, 13616, 13616, 16196, 47704, 23785, 19920, 23785, 47704, 156873, 45771, 25076, 25076, 45771, 156873, 488240, 91023, 25532, 18282, 25532, 91023, 488240, 1356489, 169230, 23907, 9784, 9784, 23907, 169230 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

......512....2371..6516.16196.47704.156873.488240.1356489.3595084.9838222

.....2371....7334.13616.23785.45771..91023.169230..300889..536665..960950

.....6516...13616.19920.25076.25532..23907..23398...26321...30168...33303

....16196...23785.25076.18282..9784...5331...3904....3384....2918....2518

....47704...45771.25532..9784..4028...2176...1362.....994....1054.....915

...156873...91023.23907..5331..2176...1256....767.....588.....649.....530

...488240..169230.23398..3904..1362....767....520.....442.....396.....388

..1356489..300889.26321..3384...994....588....442.....424.....348.....336

..3595084..536665.30168..2918..1054....649....396.....348.....312.....310

..9838222..960950.33303..2518...915....530....388.....336.....310.....252

.27777116.1692043.35726..2590...948....541....354.....300.....306.....246

.77335445.2898384.37801..2760...954....519....332.....282.....268.....228

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..7562

FORMULA

Empirical for column k:

k=1: [linear recurrence of order 30] for n>34

k=2: [order 94] for n>105

k=3: [order 19] for n>39

k=4: a(n) = -a(n-1) -a(n-2) -a(n-3) +a(n-5) +a(n-6) +a(n-7) +a(n-8) for n>19

k=5: a(n) = -a(n-1) -a(n-2) -a(n-3) +a(n-5) +a(n-6) +a(n-7) +a(n-8) for n>19

k=6: a(n) = a(n-5) for n>16

k=7: a(n) = -a(n-2) +a(n-5) +a(n-7) for n>18

Empirical periods for column k:

k=4: period 20 starting at n=12: 2760 2878 2779 2550 2508 2654 2902 2899 2512 2402 2678 3022 2861 2406 2426 2798 2984 2755 2430 2546

k=5: period 20 starting at n=12: 954 844 1017 896 934 918 869 1028 896 898 943 880 1028 860 923 954 880 992 885 934

k=6: period 5 starting at n=12: 519 486 567 482 521

k=7: period 20 starting at n=12: 332 348 316 340 336 336 344 312 344 340 332 340 316 348 336 328 344 320 344 332

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

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

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

CROSSREFS

Sequence in context: A251187 A223333 A135273 * A258519 A254568 A254561

Adjacent sequences:  A258519 A258520 A258521 * A258523 A258524 A258525

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jun 01 2015

STATUS

approved

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Last modified June 21 15:09 EDT 2021. Contains 345364 sequences. (Running on oeis4.)