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A186472 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors 10
81, 83, 83, 277, 129, 277, 367, 243, 243, 367, 966, 562, 942, 562, 966, 1321, 903, 1203, 1203, 903, 1321, 3078, 1754, 3190, 3186, 3190, 1754, 3078, 4553, 2937, 4023, 4875, 4875, 4023, 2937, 4553, 10028, 5790, 9982, 9834, 13278, 9834, 9982, 5790, 10028 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....81....83...277....367....966...1321...3078....4553...10028...15650...32786

....83...129...243....562....903...1754...2937....5790....9993...19236...33546

...277...243...942...1203...3190...4023...9982...13985...32390...48553..105436

...367...562..1203...3186...4875...9834..14883...31866...51057..105398..174289

...966...903..3190...4875..13278..16083..40626...52755..129102..182841..418022

..1321..1754..4023...9834..16083..34314..49407..109950..159879..350418..540777

..3078..2937..9982..14883..40626..49407.136086..170811..431658..564459.1356918

..4553..5790.13985..31866..52755.109950.170811..399018..570183.1266414.1812423

.10028..9993.32390..51057.129102.159879.431658..570183.1537038.1966755.4790010

.15650.19236.48553.105398.182841.350418.564459.1266414.1966755.4607034.6457959

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..473

FORMULA

Empirical, for every column: a(n)=2*a(n-1)+a(n-2)-4*a(n-3)+4*a(n-4)-2*a(n-5) for n>k+9

EXAMPLE

Some solutions for 4X3

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

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

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

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

CROSSREFS

Sequence in context: A177842 A075691 A055390 * A183984 A089784 A186464

Adjacent sequences:  A186469 A186470 A186471 * A186473 A186474 A186475

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Feb 22 2011

STATUS

approved

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Last modified June 23 09:00 EDT 2021. Contains 345395 sequences. (Running on oeis4.)