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A259297 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0001 0101 or 0111 9
10, 26, 26, 66, 94, 66, 170, 322, 322, 170, 434, 1134, 1460, 1134, 434, 1114, 3938, 6870, 6870, 3938, 1114, 2850, 13774, 31774, 43870, 31774, 13774, 2850, 7306, 48002, 148296, 273686, 273686, 148296, 48002, 7306, 18706, 167598, 688966, 1729342 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....10......26.......66........170..........434..........1114............2850

....26......94......322.......1134.........3938.........13774...........48002

....66.....322.....1460.......6870........31774........148296..........688966

...170....1134.....6870......43870.......273686.......1729342........10862998

...434....3938....31774.....273686......2293928......19528726.......165147350

..1114...13774...148296....1729342.....19528726.....224879224......2569298018

..2850...48002...688966...10862998....165147350....2569298018.....39630793526

..7306..167598..3208946...68457998...1402044186...29500968894....614892766122

.18706..584610.14925572..430748742..11882217182..338055313800...9520588610288

.47930.2040206.69477150.2712658334.100805628896.3878896990174.147638975405998

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..364

FORMULA

Empirical for column k:

k=1: a(n) = a(n-1) +4*a(n-2)

k=2: a(n) = 3*a(n-1) +4*a(n-2) -8*a(n-3)

k=3: a(n) = 2*a(n-1) +18*a(n-2) -13*a(n-3) -70*a(n-4) +24*a(n-5) +64*a(n-6)

k=4: [order 9]

k=5: [order 20]

k=6: [order 36]

k=7: [order 72]

EXAMPLE

Some solutions for n=4 k=4

..0..0..1..0..0....0..0..1..1..1....0..0..0..0..1....0..1..0..0..0

..1..0..0..1..0....0..1..0..1..0....0..1..0..1..0....1..0..1..0..1

..0..0..1..1..1....1..0..1..1..1....1..1..1..0..1....0..0..0..1..1

..1..0..0..1..0....1..1..0..1..0....0..1..0..0..0....1..0..1..0..1

..0..1..0..0..1....0..1..1..0..1....0..0..1..0..1....0..1..1..1..0

CROSSREFS

Sequence in context: A124870 A078257 A059198 * A046961 A246826 A125035

Adjacent sequences:  A259294 A259295 A259296 * A259298 A259299 A259300

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jun 23 2015

STATUS

approved

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Last modified June 26 10:23 EDT 2022. Contains 354879 sequences. (Running on oeis4.)