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!)
A207417 Number of nX6 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 1 1 and 1 0 1 vertically 1
21, 441, 1889, 8465, 50139, 220882, 891720, 3919354, 16153614, 62844340, 248939744, 971561382, 3682206767, 13939172767, 52509796817, 195002378289, 720554922955, 2654209247431, 9705662821905, 35326530765908, 128233462946586 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 6 of A207419

LINKS

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

FORMULA

Empirical: a(n) = 7*a(n-1) -18*a(n-2) +133*a(n-3) -651*a(n-4) +1197*a(n-5) -6333*a(n-6) +25033*a(n-7) -28961*a(n-8) +163943*a(n-9) -540803*a(n-10) +237661*a(n-11) -2878759*a(n-12) +7368443*a(n-13) +2759841*a(n-14) +40040383*a(n-15) -63788653*a(n-16) -91689483*a(n-17) -468035403*a(n-18) +278011313*a(n-19) +1100089375*a(n-20) +4448328425*a(n-21) +890079235*a(n-22) -7473780937*a(n-23) -32664895543*a(n-24) -25093841639*a(n-25) +27574919869*a(n-26) +179897474619*a(n-27) +216007871867*a(n-28) -9756360635*a(n-29) -731446118553*a(n-30) -1168944414481*a(n-31) -509277673393*a(n-32) +2152826290459*a(n-33) +4473263365821*a(n-34) +3291115591779*a(n-35) -4365927221311*a(n-36) -12617420740547*a(n-37) -12111562452533*a(n-38) +5122275137275*a(n-39) +26678065154599*a(n-40) +30782154493137*a(n-41) +331721793983*a(n-42) -42473769486659*a(n-43) -57185244173887*a(n-44) -14818593702641*a(n-45) +50726821023071*a(n-46) +79319623488451*a(n-47) +32697961096541*a(n-48) -45037125484709*a(n-49) -82701165846535*a(n-50) -41748724592059*a(n-51) +29522057915419*a(n-52) +64840591966667*a(n-53) +35591391891735*a(n-54) -14632491527295*a(n-55) -38278407480750*a(n-56) -20781217384488*a(n-57) +6225156196823*a(n-58) +17254112391656*a(n-59) +8222659116728*a(n-60) -2816556374268*a(n-61) -6172556854972*a(n-62) -2148893110640*a(n-63) +1280732581092*a(n-64) +1832892162528*a(n-65) +363771285460*a(n-66) -440972445372*a(n-67) -439479423060*a(n-68) -33695710728*a(n-69) +97956064212*a(n-70) +74897224416*a(n-71) -4908530304*a(n-72) -15199461216*a(n-73) -8390305296*a(n-74) +2918078784*a(n-75) +2129706432*a(n-76) +925717248*a(n-77) -389608704*a(n-78) -194088960*a(n-79) -97044480*a(n-80)

EXAMPLE

Some solutions for n=4

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

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

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

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

CROSSREFS

Sequence in context: A207733 A208692 A207562 * A207389 A207517 A207246

Adjacent sequences:  A207414 A207415 A207416 * A207418 A207419 A207420

KEYWORD

nonn

AUTHOR

R. H. Hardin Feb 17 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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 13 02:35 EDT 2021. Contains 343836 sequences. (Running on oeis4.)