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A255101 T(n,k) = Number of (n+2) X (k+2) 0..1 arrays with no 3 X 3 subblock diagonal sum 1 and no antidiagonal sum 1 and no row sum 1 and no column sum 1. 9
36, 77, 77, 179, 189, 179, 419, 539, 539, 419, 991, 1475, 1838, 1475, 991, 2345, 4075, 6110, 6110, 4075, 2345, 5537, 11573, 20928, 25413, 20928, 11573, 5537, 13105, 32627, 72639, 106848, 106848, 72639, 32627, 13105, 31063, 91821, 250704, 454332, 554091 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....36.....77......179.......419........991........2345.........5537

....77....189......539......1475.......4075.......11573........32627

...179....539.....1838......6110......20928.......72639.......250704

...419...1475.....6110.....25413.....106848......454332......1933924

...991...4075....20928....106848.....554091.....2926453.....15422602

..2345..11573....72639....454332....2926453....19198366....125525340

..5537..32627...250704...1933924...15422602...125525340...1018478173

.13105..91821...868395...8248373...81332263...822095802...8275662960

.31063.259851..3018347..35227773..430226255..5400253601..67453730450

.73591.734851.10479598.150417081.2275433973.35458215276.549630067102

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..419

FORMULA

Empirical for column k:

k=1: [linear recurrence of order 11] for n > 12;

k=2: [order 14];

k=3: [order 29] for n > 31;

k=4: [order 46] for n > 50;

k=5: [order 83] for n > 88.

EXAMPLE

Some solutions for n=4, k=4

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

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

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

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

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

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

CROSSREFS

Sequence in context: A034813 A319602 A262796 * A255094 A261284 A111163

Adjacent sequences:  A255098 A255099 A255100 * A255102 A255103 A255104

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 14 2015

STATUS

approved

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Last modified January 25 05:34 EST 2022. Contains 350565 sequences. (Running on oeis4.)