A258530 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two maximums of the central row and central column plus the two minimums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally

512, 2812, 2812, 14184, 16473, 14184, 65548, 92996, 85259, 65548, 294960, 523452, 523716, 342157, 294960, 1302500, 2927601, 3133384, 1455282, 1323419, 1302500, 5646340, 16010949, 18460629, 6505920, 3806582, 5390288, 5646340, 24197932

Offset

1,1

Comments

Table starts

.......512.......2812......14184......65548.....294960.....1302500......5646340

......2812......16473......92996.....523452....2927601....16010949.....85453855

.....14184......85259.....523716....3133384...18460629...106485657....606576800

.....65548.....342157....1455282....6505920...27337100...112691334....455126938

....294960....1323419....3806582...16029944...65947572...288227428...1319588040

...1302500....5390288...11711440...49299000..159909048...592438330...2229175182

...5646340...22067757...35610562..161983800..376000912..1541134768...6279181504

..24197932...92613188..114007482..588975448.1197367724..5755957944..24590578112

.102910460..396688542..361659778.2269798888.3293371180.16756864216..74615867948

.435448220.1711246125.1120640520.8629849032.8405740372.56699546024.254672251620

Links

R. H. Hardin, Table of n, a(n) for n = 1..1105

Formula

Empirical for column k:

k=1: [linear recurrence of order 17]

k=2: [order 35] for n>40

k=3: [order 15] for n>23

k=4: [order 16] for n>25

k=5: [order 16] for n>25

k=6: [order 16] for n>26

k=7: [order 19] for n>30

Empirical for row n:

n=1: [same linear recurrence of order 17]

n=2: [order 47] for n>52

n=3: [order 52] for n>58

n=4: [order 63] for n>76

n=5: [order 61] for n>77

n=6: [order 71] for n>90

Example

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

Crossrefs

Column 1 and row 1 are A254915

Sequence in context: A250497 A254260 A254306 * A254922 A254253 A254915

Adjacent sequences: A258527 A258528 A258529 * A258531 A258532 A258533

Keyword

nonn,tabl

Author

R. H. Hardin, Jun 02 2015

Status

approved