login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A203089 Number of (n+2)X8 binary arrays avoiding patterns 000 and 101 in rows and columns 1
10057, 57699, 319956, 1946072, 11699349, 68989536, 411159715, 2448491999, 14527671131, 86335466624, 513171415313, 3048439984301, 18113248802206, 107631805106769, 639499854727113, 3799762632265266, 22577634198427404 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 6 of A203091

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) +10*a(n-2) +114*a(n-3) +194*a(n-4) -374*a(n-5) -3394*a(n-6) -9222*a(n-7) +3450*a(n-8) +63642*a(n-9) +184963*a(n-10) +133901*a(n-11) -670343*a(n-12) -2882799*a(n-13) -4475403*a(n-14) +3008747*a(n-15) +24197011*a(n-16) +91798704*a(n-17) +121068474*a(n-18) -390320614*a(n-19) -1585027827*a(n-20) -174789262*a(n-21) +5714123205*a(n-22) +6261482640*a(n-23) -7713853231*a(n-24) -16454030340*a(n-25) -8192162679*a(n-26) +1798821063*a(n-27) +25115593177*a(n-28) +67177230424*a(n-29) +35073379023*a(n-30) -39396358499*a(n-31) -204500017334*a(n-32) -287221302594*a(n-33) +121869444771*a(n-34) +651630500775*a(n-35) +404642219492*a(n-36) +228946678981*a(n-37) -1264088589328*a(n-38) -1430803465320*a(n-39) +390503342575*a(n-40) +473447922911*a(n-41) +2967943964011*a(n-42) +918369676941*a(n-43) -1966816449977*a(n-44) -927546061788*a(n-45) -4437543138631*a(n-46) +1189531776710*a(n-47) +1897734679450*a(n-48) +1634774070437*a(n-49) +4332697240293*a(n-50) -3798066275331*a(n-51) -714550711465*a(n-52) -4667088307373*a(n-53) -2144516247817*a(n-54) +2343538410003*a(n-55) +1252001226637*a(n-56) +5873078981680*a(n-57) +2212331507462*a(n-58) +2397332943541*a(n-59) +585948017993*a(n-60) -931286828763*a(n-61) -337232767617*a(n-62) -995783593576*a(n-63) -245594595326*a(n-64) -137014489737*a(n-65) -65506443688*a(n-66) +91651098269*a(n-67) -29737584906*a(n-68) -3191357778*a(n-69) -8285725970*a(n-70) -20928028142*a(n-71) +5723741150*a(n-72) +5048689705*a(n-73) +1215517273*a(n-74) +4795269673*a(n-75) -426942656*a(n-76) -796654841*a(n-77) +348187379*a(n-78) -367811289*a(n-79) +49871525*a(n-80) +110312488*a(n-81) -19031169*a(n-82) +9039685*a(n-83) +1655848*a(n-84) -4085144*a(n-85) +285268*a(n-86) +414624*a(n-87) +144*a(n-88) for n>96

EXAMPLE

Some solutions for n=2

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

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

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

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

CROSSREFS

Sequence in context: A188663 A250711 A223431 * A187113 A023356 A292176

Adjacent sequences:  A203086 A203087 A203088 * A203090 A203091 A203092

KEYWORD

nonn

AUTHOR

R. H. Hardin Dec 29 2011

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 27 05:20 EDT 2021. Contains 348271 sequences. (Running on oeis4.)