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A269087
Number of nX6 binary arrays with some element plus some horizontally, vertically or antidiagonally adjacent neighbor totalling two not more than once.
1
41, 467, 5387, 55620, 555789, 5372270, 50865307, 473602013, 4353444165, 39602482120, 357186481377, 3198535920085, 28468239800885, 252053488597419, 2221493915335639, 19501164969933904, 170584538930223039
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OFFSET
1,1
COMMENTS
Column 6 of
A269089
.
LINKS
R. H. Hardin,
Table of n, a(n) for n = 1..210
FORMULA
Empirical: a(n) = 2*a(n-1) +83*a(n-2) +210*a(n-3) -1918*a(n-4) -13444*a(n-5) -27431*a(n-6) +22868*a(n-7) +172414*a(n-8) +91292*a(n-9) -572846*a(n-10) -576908*a(n-11) +1569339*a(n-12) +1662464*a(n-13) -4129647*a(n-14) -2739590*a(n-15) +10005684*a(n-16) +128072*a(n-17) -18820309*a(n-18) +14239344*a(n-19) +18275195*a(n-20) -39512592*a(n-21) +16595129*a(n-22) +32600294*a(n-23) -63035320*a(n-24) +55225574*a(n-25) -27556538*a(n-26) +5959238*a(n-27) +1367780*a(n-28) -935764*a(n-29) -205936*a(n-30) +253428*a(n-31) -6946*a(n-32) -44268*a(n-33) +5192*a(n-34) +6896*a(n-35) -1085*a(n-36) -848*a(n-37) +74*a(n-38) +94*a(n-39) +3*a(n-40) -6*a(n-41) -a(n-42)
EXAMPLE
Some solutions for n=4
..0..0..0..0..1..0. .0..0..1..0..0..1. .1..0..0..0..1..0. .0..1..0..0..0..0
..1..0..0..0..0..0. .0..0..0..1..0..0. .0..0..0..0..0..1. .0..0..0..0..0..0
..0..0..1..0..0..0. .1..0..0..0..0..0. .1..0..1..0..0..0. .0..1..0..0..0..1
..0..0..0..1..0..1. .0..0..1..0..0..0. .0..0..1..0..0..0. .0..0..1..0..0..0
CROSSREFS
Cf.
A269089
.
Sequence in context:
A211154
A103735
A177491
*
A166843
A098958
A269073
Adjacent sequences:
A269084
A269085
A269086
*
A269088
A269089
A269090
KEYWORD
nonn
AUTHOR
R. H. Hardin
, Feb 19 2016
STATUS
approved