A258511 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the diagonal and antidiagonal minus the sum of the medians of the central row and column nondecreasing horizontally, vertically and ne-to-sw antidiagonally

512, 2679, 2679, 10762, 12156, 10762, 44548, 62096, 56526, 44548, 193488, 323360, 425880, 304844, 193488, 827673, 1679437, 3024724, 3064020, 1627220, 827673, 3456356, 8808509, 20998652, 27571468, 21229200, 8659189, 3456356, 14347670

Offset

1,1

Comments

Table starts

......512.......2679.......10762.........44548.........193488...........827673

.....2679......12156.......62096........323360........1679437..........8808509

....10762......56526......425880.......3024724.......20998652........147635738

....44548.....304844.....3064020......27571468......236448598.......2068059998

...193488....1627220....21229200.....230967748.....2402910000......26456908324

...827673....8659189...147424970....1980067182....25984470984.....369487230074

..3456356...46288077..1030931222...17303680979...287984893776....5245904339615

.14347670..247098224..7213265988..150308716661..3137021616326...72863622332517

.59706588.1317234754.50406135414.1302151974414.34069606919962.1011482738365911

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Formula

Empirical for column k:

k=1: [linear recurrence of order 50] for n>54

Empirical for row n:

n=1: [same linear recurrence of order 50] for n>54

Example

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

Crossrefs

Column 1 and row 1 are A254991

Sequence in context: A257189 A254989 A254982 * A254998 A254991 A186840

Adjacent sequences: A258508 A258509 A258510 * A258512 A258513 A258514

Keyword

nonn,tabl

Author

R. H. Hardin, Jun 01 2015

Status

approved