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A253524 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal minimum minus antidiagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal maximum nondecreasing vertically 9
81, 470, 470, 2180, 2724, 2180, 9623, 10706, 10706, 9623, 42669, 42476, 30013, 42476, 42669, 192393, 169828, 84684, 84684, 169828, 192393, 876277, 666239, 256914, 162815, 256914, 666239, 876277, 4010555, 2544290, 791232, 370028, 370028, 791232 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.......81.......470.....2180.....9623....42669...192393....876277...4010555

......470......2724....10706....42476...169828...666239...2544290...9487609

.....2180.....10706....30013....84684...256914...791232...2419612...7338525

.....9623.....42476....84684...162815...370028...930046...2475610...6886675

....42669....169828...256914...370028...673229..1439791...3429207...8936967

...192393....666239...791232...930046..1439791..2662626...5591131..13347833

...876277...2544290..2419612..2475610..3429207..5591131..10168992..21354009

..4010555...9487609..7338525..6886675..8936967.13347833..21354009..38531995

.18395493..34708223.22126888.19760474.24799705.35219532..51569897..81282413

.84458827.125073383.66487395.57829329.71469938.98975447.137921376.198445532

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..238

FORMULA

Empirical for column k:

k=1: a(n) = 8*a(n-1) -15*a(n-2) -12*a(n-3) +44*a(n-4) -8*a(n-5) -16*a(n-6) for n>13

k=2: [order 9] for n>17

k=3: [order 8] for n>16

k=4: [order 8] for n>16

k=5: [order 7] for n>15

k=6: [same order 7] for n>15

k=7: [same order 7] for n>15

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

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

CROSSREFS

Sequence in context: A236354 A236349 A334036 * A254422 A253517 A237683

Adjacent sequences:  A253521 A253522 A253523 * A253525 A253526 A253527

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 03 2015

STATUS

approved

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Last modified October 28 04:43 EDT 2021. Contains 348313 sequences. (Running on oeis4.)