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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A231977

LINKS

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

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

Adjacent sequences:  A231969 A231970 A231971 * A231973 A231974 A231975

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 16 2013

STATUS

approved

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Last modified May 8 21:32 EDT 2021. Contains 343668 sequences. (Running on oeis4.)