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A234175 T(n,k)=Number of (n+1)X(k+1) 0..6 arrays with every 2X2 subblock having its diagonal sum differing from its antidiagonal sum by 1 (constant stress 1X1 tilings) 6
448, 4536, 4536, 47936, 70486, 47936, 517104, 1173940, 1173940, 517104, 5630848, 20235390, 31382488, 20235390, 5630848, 61624416, 354809676, 877700068, 877700068, 354809676, 61624416, 675750656, 6280203692, 25133134704 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

..........448...........4536...........47936...........517104...........5630848

.........4536..........70486.........1173940.........20235390.........354809676

........47936........1173940........31382488........877700068.......25133134704

.......517104.......20235390.......877700068......40217750640.....1898311922200

......5630848......354809676.....25133134704....1898311922200...148522072535416

.....61624416.....6280203692....729604466884...91205700777916.11873684734291952

....675750656...111690695276..21336968498856.4425866604068816

...7420655424..1992506433044.627009808429332

..81506779648.35594422747852

.895774029696

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..60

FORMULA

Empirical for column k:

k=1: a(n) = 154*a(n-2) -4144*a(n-4) +16176*a(n-6)

k=2: [order 35]

EXAMPLE

Some solutions for n=2 k=4

..0..2..3..5..2....0..4..4..3..3....0..0..5..1..0....0..2..0..3..2

..0..3..3..4..2....0..3..2..0..1....0..1..5..0..0....0..3..2..4..4

..0..2..1..1..0....0..2..2..1..1....0..2..5..1..2....0..2..2..5..6

CROSSREFS

Sequence in context: A048632 A234428 A234424 * A234170 A120104 A229378

Adjacent sequences:  A234172 A234173 A234174 * A234176 A234177 A234178

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 20 2013

STATUS

approved

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Last modified May 24 18:12 EDT 2022. Contains 354043 sequences. (Running on oeis4.)