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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified October 16 02:44 EDT 2021. Contains 348034 sequences. (Running on oeis4.)