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A301882
Number of nX6 0..1 arrays with every element equal to 0, 1 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.
1
13, 74, 331, 1754, 8829, 46079, 240222, 1258853, 6603593, 34694809, 182347026, 958881035, 5042935900, 26526353359, 139537750005, 734056924930, 3861673664333, 20315559703409, 106877200731477, 562268273632807
OFFSET
1,1
COMMENTS
Column 6 of A301884.
LINKS
FORMULA
Empirical: a(n) = a(n-1) +48*a(n-2) -16*a(n-3) -864*a(n-4) +3*a(n-5) +7667*a(n-6) +1179*a(n-7) -37181*a(n-8) -8572*a(n-9) +110043*a(n-10) +31823*a(n-11) -237350*a(n-12) -64544*a(n-13) +345618*a(n-14) +74271*a(n-15) -425703*a(n-16) -53446*a(n-17) +346542*a(n-18) +24267*a(n-19) -275496*a(n-20) -3139*a(n-21) +132994*a(n-22) -2714*a(n-23) -63515*a(n-24) +1651*a(n-25) +15195*a(n-26) -192*a(n-27) -1586*a(n-28) +6*a(n-29) +68*a(n-30) -a(n-32) for n>33
EXAMPLE
Some solutions for n=5
..0..0..0..1..0..1. .0..1..0..1..1..1. .0..1..1..0..1..1. .0..1..0..1..0..1
..0..1..0..0..0..1. .0..1..0..1..0..1. .0..0..0..0..0..1. .0..1..0..1..0..1
..0..1..1..1..0..1. .0..1..0..0..0..0. .0..1..0..1..0..0. .0..1..0..1..0..1
..0..1..0..0..0..0. .0..1..1..0..1..1. .0..1..0..1..1..1. .0..1..1..0..0..1
..0..1..1..0..1..0. .0..0..1..0..0..1. .0..1..0..1..0..0. .0..1..0..1..1..1
CROSSREFS
Cf. A301884.
Sequence in context: A159832 A139070 A094421 * A302079 A103968 A073544
KEYWORD
nonn
AUTHOR
R. H. Hardin, Mar 28 2018
STATUS
approved