A259294 Number of (n+1)X(5+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0001 0101 or 0111

434, 3938, 31774, 273686, 2293928, 19528726, 165147350, 1402044186, 11882217182, 100805628896, 854788219326, 7250421894706, 61489557032118, 521532393880894, 4423217189081992, 37515428883279070, 318180075628925406

Offset

1,1

Comments

Column 5 of A259297

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 4*a(n-1) +94*a(n-2) -260*a(n-3) -3104*a(n-4) +6922*a(n-5) +48854*a(n-6) -94118*a(n-7) -411428*a(n-8) +687376*a(n-9) +1991983*a(n-10) -2792826*a(n-11) -5747356*a(n-12) +6404184*a(n-13) +9882208*a(n-14) -8117120*a(n-15) -9774592*a(n-16) +5218304*a(n-17) +5062656*a(n-18) -1310720*a(n-19) -1048576*a(n-20)

Example

Some solutions for n=3
..0..1..0..1..0..1....1..0..1..1..1..0....1..1..0..0..1..0....0..1..1..1..1..0
..1..1..1..1..1..1....0..1..0..1..0..0....1..0..0..1..1..1....1..1..0..1..0..1
..1..0..1..0..1..0....1..0..1..0..1..0....0..0..1..1..0..1....1..0..1..1..1..0
..0..1..0..0..0..1....0..1..1..1..1..1....1..0..0..1..1..1....0..0..0..1..0..0

Crossrefs

Cf. A259297

Sequence in context: A108785 A219033 A237386 * A050507 A145318 A054987

Adjacent sequences: A259291 A259292 A259293 * A259295 A259296 A259297

Keyword

nonn

Author

R. H. Hardin, Jun 23 2015

Status

approved