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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 14
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 (list; table; graph; refs; listen; history; text; internal format)
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jun 02 2015
STATUS
approved

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Last modified February 21 16:42 EST 2024. Contains 370237 sequences. (Running on oeis4.)