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
Keywords
Examples
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
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)
Comments