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A203088 Number of (n+2)X7 binary arrays avoiding patterns 000 and 101 in rows and columns 1
4000, 19723, 92748, 470807, 2370796, 11699349, 58260775, 290231774, 1440610700, 7161014248, 35609572095, 176960438476, 879584805301, 4372483391637, 21733245679944, 108026928008832, 536972664561780, 2669084720571895 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 of A203091

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) +4*a(n-2) +67*a(n-3) +95*a(n-4) +39*a(n-5) -787*a(n-6) -1996*a(n-7) -1419*a(n-8) +6228*a(n-9) +16781*a(n-10) +27340*a(n-11) -22505*a(n-12) -163643*a(n-13) -232318*a(n-14) -44611*a(n-15) +756933*a(n-16) +2255098*a(n-17) +1234664*a(n-18) -6024326*a(n-19) -8760446*a(n-20) +2608178*a(n-21) +13003422*a(n-22) +7775870*a(n-23) +4006698*a(n-24) -6086060*a(n-25) -18623318*a(n-26) -8885831*a(n-27) -10620166*a(n-28) +3421476*a(n-29) +36056453*a(n-30) +14043377*a(n-31) -391762*a(n-32) -5237906*a(n-33) -27563307*a(n-34) +19864148*a(n-35) +14011332*a(n-36) -2031690*a(n-37) -2983530*a(n-38) -42780677*a(n-39) -8866305*a(n-40) -12102979*a(n-41) +6725362*a(n-42) +6269863*a(n-43) +192462*a(n-44) +1886386*a(n-45) -1148964*a(n-46) +351634*a(n-47) +84728*a(n-48) -135432*a(n-49) +66240*a(n-50) -11392*a(n-51) for n>57

EXAMPLE

Some solutions for n=3

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

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

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

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

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

CROSSREFS

Sequence in context: A235739 A236079 A045262 * A061700 A218641 A092722

Adjacent sequences:  A203085 A203086 A203087 * A203089 A203090 A203091

KEYWORD

nonn

AUTHOR

R. H. Hardin Dec 29 2011

STATUS

approved

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Last modified July 2 08:50 EDT 2020. Contains 335398 sequences. (Running on oeis4.)