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A235902 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the minimum plus the maximum equal to the lower median plus the upper median in every 2X2 subblock 9
33, 125, 125, 473, 641, 473, 1797, 3265, 3265, 1797, 6849, 17001, 21697, 17001, 6849, 26189, 89857, 148945, 148945, 89857, 26189, 100457, 482809, 1030145, 1384257, 1030145, 482809, 100457, 386517, 2633969, 7234417, 12931393, 12931393, 7234417 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
......33.......125.........473..........1797...........6849............26189
.....125.......641........3265.........17001..........89857...........482809
.....473......3265.......21697........148945........1030145..........7234417
....1797.....17001......148945.......1384257.......12931393........124394337
....6849.....89857.....1030145......12931393......160019457.......2053474753
...26189....482809.....7234417.....124394337.....2053474753......35883075329
..100457...2633969....51386977....1221438401....26681279873.....632701301249
..386517..14575785...369219409...12293017761...354762714433...11571312666753
.1491537..81703841..2679887681..126561018497..4797433339137..216925831550465
.5771933.463238873.19633204273.1332373322337.66057474247873.4198207054934401
LINKS
FORMULA
Empirical for column k (apparently recurrences of order 2k+1):
k=1: a(n) = 7*a(n-1) -10*a(n-2) -8*a(n-3)
k=2: a(n) = 13*a(n-1) -44*a(n-2) -24*a(n-3) +192*a(n-4) +144*a(n-5)
k=3: [order 7]
k=4: [order 9]
k=5: [order 11]
k=6: [order 13]
k=7: [order 15]
EXAMPLE
Some solutions for n=3 k=4
..0..1..2..2..1....1..2..1..1..0....1..2..1..2..1....1..2..0..1..0
..2..1..2..2..1....1..2..1..1..2....0..1..0..1..0....2..1..1..0..1
..1..0..1..1..2....0..1..2..0..1....1..0..1..2..1....0..1..1..0..1
..1..2..1..1..0....1..0..1..1..2....1..2..1..0..1....0..1..1..2..1
CROSSREFS
Sequence in context: A337626 A301633 A039440 * A235895 A010020 A007419
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 16 2014
STATUS
approved

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Last modified February 22 22:43 EST 2024. Contains 370265 sequences. (Running on oeis4.)