A235911 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the minimum plus the maximum unequal to the lower median plus the upper median in every 2X2 subblock

48, 260, 260, 1408, 2618, 1408, 7632, 26408, 26408, 7632, 41344, 267548, 499136, 267548, 41344, 224064, 2707568, 9533120, 9533120, 2707568, 224064, 1213952, 27447272, 181855488, 345346064, 181855488, 27447272, 1213952, 6578432

Offset

1,1

Comments

Table starts

.......48.........260...........1408..............7632................41344

......260........2618..........26408............267548..............2707568

.....1408.......26408.........499136...........9533120............181855488

.....7632......267548........9533120.........345346064..........12495925760

....41344.....2707568......181855488.......12495925760.........857962921984

...224064....27447272.....3481713664......454589648064.......59328151603200

..1213952...278028320....66562286592....16501573788672.....4091230986428416

..6578432..2818432496..1274524104704...600431925362944...283020673044676608

.35643392.28558894016.24381793964032.21815700608966656.19540542590093524992

Links

R. H. Hardin, Table of n, a(n) for n = 1..219

Formula

Empirical for column k:

k=1: a(n) = 2*a(n-1) +20*a(n-2) -8*a(n-3)

k=2: a(n) = 8*a(n-1) +58*a(n-2) -368*a(n-3) -24*a(n-4) +192*a(n-5)

k=3: [order 9]

k=4: [order 16]

k=5: [order 32]

k=6: [order 62]

Example

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

Crossrefs

Sequence in context: A206054 A206047 A223434 * A235904 A275406 A205469

Adjacent sequences: A235908 A235909 A235910 * A235912 A235913 A235914

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 16 2014

Status

approved