A251070 Number of (6+1)X(n+1) 0..2 arrays with no 2X2 subblock having x11-x00 less than x10-x01

603249, 53420941, 2295692500, 59730054958, 1074828860950, 14586457826568, 158459225199843, 1438345592749563, 11262667082878011, 77955382269477591, 486144099858517720, 2773348881006958482, 14652680790738269388

Offset

1,1

Comments

Row 6 of A251065

Links

R. H. Hardin, Table of n, a(n) for n = 1..161

Formula

Empirical: a(n) = 54*a(n-1) -1415*a(n-2) +23974*a(n-3) -295254*a(n-4) +2817284*a(n-5) -21678746*a(n-6) +138254820*a(n-7) -745316011*a(n-8) +3447034866*a(n-9) -13834232709*a(n-10) +48614657106*a(n-11) -150656014780*a(n-12) +414097162056*a(n-13) -1014176290796*a(n-14) +2221347737720*a(n-15) -4363840446855*a(n-16) +7706089982650*a(n-17) -12252214598305*a(n-18) +17557946445930*a(n-19) -22690783744310*a(n-20) +26446083771140*a(n-21) -27784984063050*a(n-22) +26288833753540*a(n-23) -22365628155565*a(n-24) +17073173365086*a(n-25) -11661425586419*a(n-26) +7101248506590*a(n-27) -3837974850264*a(n-28) +1830634514544*a(n-29) -765183707024*a(n-30) +277799914656*a(n-31) -86611909120*a(n-32) +22851076096*a(n-33) -5002450176*a(n-34) +884232704*a(n-35) -121255936*a(n-36) +12103680*a(n-37) -782336*a(n-38) +24576*a(n-39)

Example

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

Crossrefs

Sequence in context: A270262 A238310 A237471 * A184561 A321705 A351721

Adjacent sequences: A251067 A251068 A251069 * A251071 A251072 A251073

Keyword

nonn

Author

R. H. Hardin, Nov 29 2014

Status

approved