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A186554 Number of (n+1)X2 0..3 arrays with no 2X2 subblock commuting with any of its horizontal and vertical 2X2 subblock neighbors 4
256, 3891, 60074, 927477, 14319230, 221073168, 3413126694, 52694924343, 813551707879, 12560344087053, 193917905964431, 2993879307207532, 46222205533558883, 713620044483130375, 11017509052404905567 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 1 of A186558

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..200

FORMULA

Empirical: a(n)=4*a(n-1)+104*a(n-2)+797*a(n-3)+3891*a(n-4)+14095*a(n-5)+40200*a(n-6)+92485*a(n-7)+171998*a(n-8)+252349*a(n-9)+268492*a(n-10)+139234*a(n-11)-161414*a(n-12)-521070*a(n-13)-687529*a(n-14)-423636*a(n-15)+253948*a(n-16)+987357*a(n-17)+1330329*a(n-18)+1183644*a(n-19)+932235*a(n-20)+994269*a(n-21)+1201760*a(n-22)+856341*a(n-23)-350728*a(n-24)-1594116*a(n-25)-1551129*a(n-26)-10297*a(n-27)+1532661*a(n-28)+1395959*a(n-29)-294208*a(n-30)-1710585*a(n-31)-1500735*a(n-32)-230622*a(n-33)+624783*a(n-34)+502770*a(n-35)+14161*a(n-36)-185750*a(n-37)-87729*a(n-38)+20841*a(n-39)+32262*a(n-40)+10922*a(n-41)+3426*a(n-42)+3024*a(n-43)+1107*a(n-44)-285*a(n-45)-255*a(n-46)-34*a(n-47)+3*a(n-48) for n>49

EXAMPLE

Some solutions for 3X2

..2..1....3..3....0..3....1..3....3..1....2..0....1..0....0..2....1..1....3..2

..0..1....2..2....0..0....2..1....0..1....3..2....1..3....0..3....1..3....3..2

..3..2....0..2....2..0....1..1....2..0....2..0....3..0....2..2....3..2....0..2

CROSSREFS

Sequence in context: A186197 A231842 A186558 * A200843 A074151 A016804

Adjacent sequences:  A186551 A186552 A186553 * A186555 A186556 A186557

KEYWORD

nonn

AUTHOR

R. H. Hardin Feb 23 2011

STATUS

approved

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Last modified November 18 07:22 EST 2019. Contains 329252 sequences. (Running on oeis4.)