login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A206986 Number of nX7 0..1 arrays avoiding the patterns 0 1 0 or 1 0 1 in any row, column, diagonal or antidiagonal 1
42, 1764, 2754, 18528, 106110, 539576, 2926752, 16410772, 88554260, 477698908, 2619259634, 14280032054, 77486975514, 422191223508, 2301460838104, 12521989484576, 68163339893844, 371278088395874, 2021451066772812 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 7 of A206987
LINKS
FORMULA
Empirical: a(n) = 12*a(n-1) -57*a(n-2) +204*a(n-3) -712*a(n-4) +1629*a(n-5) -2013*a(n-6) -1350*a(n-7) +8857*a(n-8) -2692*a(n-9) +40341*a(n-10) -184639*a(n-11) +267833*a(n-12) -342433*a(n-13) +259406*a(n-14) +82163*a(n-15) +2551670*a(n-16) -1584198*a(n-17) -11211930*a(n-18) +8263359*a(n-19) -650200*a(n-20) +75417795*a(n-21) -127353208*a(n-22) +98617983*a(n-23) -294853523*a(n-24) +293977586*a(n-25) +84609725*a(n-26) -1982930*a(n-27) -37710696*a(n-28) -995272981*a(n-29) +3231800062*a(n-30) -1273045117*a(n-31) -1553881483*a(n-32) -5866183982*a(n-33) +4867153776*a(n-34) +6843320108*a(n-35) -6774230192*a(n-36) -9332999003*a(n-37) +4369010024*a(n-38) +20963390934*a(n-39) +12206097010*a(n-40) -28409016089*a(n-41) -23333909730*a(n-42) +53550932578*a(n-43) +3481744833*a(n-44) -22681916085*a(n-45) -79404231597*a(n-46) +26112200963*a(n-47) +70779977384*a(n-48) -27744834069*a(n-49) -67989382455*a(n-50) +25768829849*a(n-51) +76157982282*a(n-52) +38333688138*a(n-53) -66879893432*a(n-54) -31806232924*a(n-55) +50580641882*a(n-56) -10727919156*a(n-57) +18055489357*a(n-58) -15764909685*a(n-59) +617435579*a(n-60) +857583968*a(n-61) -17821204296*a(n-62) +16562222210*a(n-63) -34783447*a(n-64) -4660345275*a(n-65) +346004180*a(n-66) -2701874206*a(n-67) +3769811175*a(n-68) +185792729*a(n-69) -1834618236*a(n-70) +1190435781*a(n-71) -362298763*a(n-72) -288436772*a(n-73) +286127591*a(n-74) +67688678*a(n-75) -111910582*a(n-76) -1679570*a(n-77) -3663805*a(n-78) +6738647*a(n-79) +7719712*a(n-80) -1187115*a(n-81) +477243*a(n-82) -606196*a(n-83) -270152*a(n-84) +60080*a(n-85) +1536*a(n-86) for n>92
EXAMPLE
Some solutions for n=4
..0..1..1..1..1..0..0....0..0..1..1..0..0..1....1..0..0..1..1..1..0
..1..1..1..1..1..0..0....0..1..1..1..0..0..0....0..0..0..1..1..1..0
..1..1..1..1..1..0..0....1..1..1..1..0..0..0....0..0..0..1..1..0..0
..1..1..1..1..1..1..0....1..1..1..0..0..0..1....1..0..0..1..1..0..0
CROSSREFS
Sequence in context: A208500 A207588 A207844 * A208378 A208068 A207933
KEYWORD
nonn
AUTHOR
R. H. Hardin Feb 14 2012
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 21 19:37 EST 2024. Contains 370237 sequences. (Running on oeis4.)