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A252433 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 4 6 or 7 16
641, 915, 602, 1142, 688, 608, 1693, 1033, 914, 878, 2710, 1488, 1810, 1801, 1152, 4342, 3057, 2971, 3954, 2993, 1603, 6941, 6178, 8430, 7575, 9643, 6164, 2617, 12295, 10309, 20632, 26396, 20187, 24024, 13139, 4131, 20379, 24196, 38186, 74892, 85563 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

...641....915...1142....1693.....2710......4342......6941......12295

...602....688...1033....1488.....3057......6178.....10309......24196

...608....914...1810....2971.....8430.....20632.....38186.....110958

...878...1801...3954....7575....26396.....74892....151863.....530739

..1152...2993...9643...20187....85563....302218....652210....2786331

..1603...6164..24024...53028...284379...1190037...2718502...14673858

..2617..13139..59977..139425...920196...4567070..10924203...71981082

..4131..26670.153283..374789..3034712..18926855..47376966..384953455

..6514..55677.389066..987296.10150190..75297774.196667998.2025948930

.11116.119785.994207.2598603.32981888.295100889.788158275.9974109278

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..480

FORMULA

Empirical for column k:

k=1: [linear recurrence of order 27] for n>34

k=2: [order 33] for n>37

k=3: [order 48] for n>51

k=4: [order 72] for n>74

k=5: [order 99] for n>101

Empirical for row n:

n=1: [linear recurrence of order 29] for n>44

n=2: [order 27] for n>34

n=3: [order 30] for n>34

n=4: [order 39] for n>46

n=5: [order 54] for n>58

n=6: [order 60] for n>67

n=7: [order 90] for n>97

EXAMPLE

Some solutions for n=4 k=4

..3..2..2..3..2..2....2..3..2..2..0..0....2..2..3..2..2..3....2..3..2..2..0..2

..2..3..2..2..3..2....2..2..3..2..2..0....1..3..0..1..3..3....2..2..0..2..2..3

..3..0..1..3..0..1....1..0..3..1..3..3....2..3..2..2..3..2....1..3..3..1..3..3

..3..2..2..3..2..2....2..3..2..2..3..2....2..2..3..2..2..3....2..3..2..2..3..2

..2..3..2..2..3..2....2..2..0..2..2..3....1..3..3..1..3..3....2..2..3..2..2..3

..3..0..1..3..3..1....1..3..3..1..3..3....2..0..2..2..0..2....1..0..3..1..3..0

CROSSREFS

Sequence in context: A252425 A160203 A251840 * A252434 A105130 A117129

Adjacent sequences:  A252430 A252431 A252432 * A252434 A252435 A252436

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 17 2014

STATUS

approved

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Last modified October 17 15:29 EDT 2018. Contains 316283 sequences. (Running on oeis4.)