A203983 Number of (n+1)X8 0..2 arrays with no 2X2 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..2 introduced in row major order

24576, 1119744, 51018336, 2447270496, 118333620576, 5764846339584, 281455764775776, 13760034485954400, 673045752535673184, 32929530583286102400, 1611290252343314405376, 78847099619621520230496

Offset

1,1

Comments

Column 7 of A203984

Links

R. H. Hardin, Table of n, a(n) for n = 1..194

Formula

Empirical: a(n) = 81*a(n-1) -990*a(n-2) -55557*a(n-3) +1308051*a(n-4) +9877815*a(n-5) -472364460*a(n-6) +943100415*a(n-7) +77404069476*a(n-8) -518255160660*a(n-9) -6362605755783*a(n-10) +72333960423075*a(n-11) +223601505317082*a(n-12) -5264665776830025*a(n-13) +3575284914586527*a(n-14) +225704467607414148*a(n-15) -691301950951353183*a(n-16) -5753524457427090471*a(n-17) +31302036027799741413*a(n-18) +76304508958149193188*a(n-19) -780598320639827527251*a(n-20) -32107509630606372660*a(n-21) +11916298097181567343665*a(n-22) -16999232257151001851004*a(n-23) -110708791324500349192293*a(n-24) +303730479433392729885693*a(n-25) +555754575465898156952694*a(n-26) -2737618881639491778320259*a(n-27) -584755510344811831795446*a(n-28) +14407869192888759424255026*a(n-29) -9579065689150601713125282*a(n-30) -44620541811711898638722874*a(n-31) +59888834204786049381681870*a(n-32) +75210686676036004338582552*a(n-33) -168955611080998044775817142*a(n-34) -43167918621829199898820959*a(n-35) +262083277346193044061068880*a(n-36) -64367087618676610768687146*a(n-37) -218976915013228373921343981*a(n-38) +130739067080067867741115677*a(n-39) +78915491598396738245792607*a(n-40) -84109173336513103888007001*a(n-41) +3118769447215496774534127*a(n-42) +17814505620501527202817290*a(n-43) -6540848332303545808795602*a(n-44) +717897987691852588770249*a(n-45)

Example

Some solutions for n=4
..0..1..2..2..2..0..2..1....0..0..0..0..0..1..0..2....0..0..1..2..1..2..1..1
..2..1..0..0..1..0..2..0....1..1..1..2..2..2..0..1....1..2..1..2..0..2..0..2
..0..1..2..2..1..0..1..0....2..2..0..0..0..1..0..1....1..2..1..2..0..2..1..2
..2..1..0..0..1..0..2..2....0..1..1..2..2..2..2..2....0..2..1..2..1..2..0..0
..2..1..2..2..2..0..1..0....2..2..0..0..1..0..1..0....0..2..1..0..0..2..1..1

Crossrefs

Sequence in context: A244150 A229798 A195655 * A188791 A195650 A189184

Adjacent sequences: A203980 A203981 A203982 * A203984 A203985 A203986

Keyword

nonn

Author

R. H. Hardin Jan 09 2012

Status

approved