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A202314 Number of (n+2)X7 binary arrays avoiding patterns 001 and 100 in rows and columns 1
14743, 226004, 3922195, 70757101, 1298560926, 23966292639, 443521643383, 8215338474276, 152244358697251, 2821802991486057, 52305839852038732, 969586430998725601, 17973396749417435147, 333177931075395176824 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 5 of A202317
LINKS
FORMULA
Empirical: a(n) = 33*a(n-1) -173*a(n-2) -4031*a(n-3) +43286*a(n-4) +105403*a(n-5) -2756164*a(n-6) +3399472*a(n-7) +82240527*a(n-8) -244600279*a(n-9) -1363158974*a(n-10) +6133321873*a(n-11) +12985965698*a(n-12) -89204140972*a(n-13) -59067220364*a(n-14) +855878283784*a(n-15) -135404303070*a(n-16) -5732424168822*a(n-17) +4116011884446*a(n-18) +27526982501704*a(n-19) -32359757192811*a(n-20) -95384717292564*a(n-21) +156184848189415*a(n-22) +234359265693689*a(n-23) -526352234942371*a(n-24) -380316249163413*a(n-25) +1293630722167428*a(n-26) +293042935452487*a(n-27) -2354219714476811*a(n-28) +310653691013856*a(n-29) +3169179526278015*a(n-30) -1352823981322577*a(n-31) -3102033491311633*a(n-32) +2222650955689313*a(n-33) +2109888336697936*a(n-34) -2304367916532437*a(n-35) -874936331649000*a(n-36) +1642094431358442*a(n-37) +90721585983600*a(n-38) -817910489394610*a(n-39) +136355405123564*a(n-40) +281587384732102*a(n-41) -98629053529668*a(n-42) -64604118358638*a(n-43) +35599745655871*a(n-44) +9013828164774*a(n-45) -8054855097809*a(n-46) -526748391093*a(n-47) +1205735273722*a(n-48) -46215681146*a(n-49) -121698174635*a(n-50) +11812369522*a(n-51) +8369313927*a(n-52) -1040161515*a(n-53) -393090821*a(n-54) +48269303*a(n-55) +12317982*a(n-56) -1154412*a(n-57) -233032*a(n-58) +10752*a(n-59) +1920*a(n-60)
EXAMPLE
Some solutions for n=1
..1..1..1..1..1..0..1....1..1..0..1..1..1..1....1..0..1..1..1..1..1
..1..1..1..0..1..1..1....1..0..1..1..1..1..1....1..0..1..0..1..1..1
..1..1..0..1..0..1..0....1..1..1..1..0..1..0....1..0..1..1..0..1..1
CROSSREFS
Sequence in context: A178587 A178588 A089315 * A236667 A015375 A043648
KEYWORD
nonn
AUTHOR
R. H. Hardin Dec 16 2011
STATUS
approved

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Last modified March 28 08:22 EDT 2024. Contains 371236 sequences. (Running on oeis4.)