login
A231972
Number of (n+1)X(3+1) 0..1 arrays with no element having a strict majority of its horizontal and vertical neighbors equal to one
1
36, 169, 841, 4489, 24964, 136900, 741321, 4024036, 21911761, 119268241, 648771841, 3529072836, 19199427844, 104453715249, 568259668900, 3091481744121, 16818570092025, 91498158928089, 497777418977476
OFFSET
1,1
COMMENTS
Column 3 of A231977
LINKS
FORMULA
Empirical: a(n) = 2*a(n-1) +8*a(n-2) +36*a(n-3) +90*a(n-4) +170*a(n-5) +66*a(n-6) -303*a(n-7) -268*a(n-8) +124*a(n-9) +40*a(n-10) -200*a(n-11) -184*a(n-12) -96*a(n-13) +57*a(n-14) +146*a(n-15) +36*a(n-16) -4*a(n-17) +22*a(n-18) -10*a(n-19) +6*a(n-20) -a(n-21)
EXAMPLE
Some solutions for n=2
..0..0..0..0....0..0..1..1....1..0..0..0....0..0..0..0....0..1..1..0
..1..0..0..0....0..0..0..0....0..0..1..0....1..0..1..0....0..0..0..0
..0..0..1..1....1..1..0..0....0..0..0..0....0..0..1..0....1..1..0..0
CROSSREFS
Sequence in context: A338390 A268905 A017054 * A330770 A166708 A211731
KEYWORD
nonn
AUTHOR
R. H. Hardin, Nov 16 2013
STATUS
approved