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A202373 Number of (n+2)X5 binary arrays avoiding patterns 001 and 111 in rows and columns 1
611, 2293, 7349, 20247, 54611, 136304, 327679, 763588, 1721033, 3799888, 8211737, 17438746, 36502015, 75371771, 153887886, 310995366, 622783262, 1237165150, 2439654168, 4779420957, 9307434062, 18026860476, 34742343252, 66653403132 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A202378

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) +6*a(n-2) -27*a(n-3) -58*a(n-4) +123*a(n-5) +317*a(n-6) -210*a(n-7) -1221*a(n-8) -292*a(n-9) +2673*a(n-10) +2865*a(n-11) -2824*a(n-12) -6786*a(n-13) -1929*a(n-14) +7083*a(n-15) +8031*a(n-16) +1548*a(n-17) -6345*a(n-18) -7798*a(n-19) -5052*a(n-20) +2589*a(n-21) +4899*a(n-22) +5997*a(n-23) +2472*a(n-24) +3139*a(n-25) -3481*a(n-26) -3858*a(n-27) -7252*a(n-28) -570*a(n-29) -2112*a(n-30) +5334*a(n-31) +1212*a(n-32) +5048*a(n-33) -2659*a(n-34) +2670*a(n-35) -2841*a(n-36) +3203*a(n-37) -2780*a(n-38) +2044*a(n-39) -4190*a(n-40) +641*a(n-41) -3147*a(n-42) +2045*a(n-43) -992*a(n-44) +2429*a(n-45) -588*a(n-46) +1430*a(n-47) -717*a(n-48) +793*a(n-49) -543*a(n-50) +320*a(n-51) -513*a(n-52) +16*a(n-53) -325*a(n-54) +59*a(n-55) -47*a(n-56) +114*a(n-57) +23*a(n-58) +48*a(n-59) -5*a(n-60) +a(n-61) -9*a(n-62) -2*a(n-63) -2*a(n-64)

EXAMPLE

Some solutions for n=5

..1..1..0..1..0....1..1..0..1..0....1..0..1..1..0....0..1..0..1..1

..0..1..1..0..1....0..1..1..0..0....0..1..0..1..1....1..0..1..0..1

..1..0..0..0..0....1..0..1..0..0....1..0..1..0..0....0..1..0..1..0

..0..1..1..0..0....0..0..0..0..0....1..1..0..0..0....1..0..1..0..1

..1..0..1..0..0....1..0..1..0..0....0..1..1..0..0....1..1..0..0..0

..0..0..0..0..0....0..0..0..0..0....0..0..0..0..0....0..1..1..0..1

..1..0..0..0..0....1..0..0..0..0....0..1..0..0..0....1..0..1..0..0

CROSSREFS

Sequence in context: A214855 A072323 A235381 * A232119 A232417 A250997

Adjacent sequences:  A202370 A202371 A202372 * A202374 A202375 A202376

KEYWORD

nonn

AUTHOR

R. H. Hardin Dec 18 2011

STATUS

approved

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Last modified April 22 06:35 EDT 2019. Contains 322329 sequences. (Running on oeis4.)