A208861 Number of nX5 0..3 arrays with new values 0..3 introduced in row major order and no element equal to more than one of its immediate leftward or upward or left-upward diagonal neighbors.
51, 23047, 12883280, 7240366702, 4071491223248, 2289701830963879, 1287681340443915644, 724166398812363542260, 407256849342915985761092, 229033195050822330468202369, 128803738036903910358389563556
Offset: 1
Keywords
Examples
Some solutions for n=4 ..0..0..0..0..1....0..0..0..0..0....0..1..0..0..0....0..1..1..0..0 ..1..1..1..2..1....0..1..1..2..2....1..0..1..1..1....0..1..2..0..1 ..2..3..0..1..2....2..2..3..2..3....1..0..2..3..2....3..2..3..1..2 ..0..0..1..3..0....3..1..1..2..1....3..2..3..1..1....2..0..1..0..0
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Formula
Empirical: a(n) = 831*a(n-1) -179993*a(n-2) +17822337*a(n-3) -914949819*a(n-4) +23168761555*a(n-5) -161356715633*a(n-6) -4487021565447*a(n-7) +88170625092243*a(n-8) -89146256087223*a(n-9) -9123849468343275*a(n-10) +57411954474413179*a(n-11) +280936943350232287*a(n-12) -3595338835588287543*a(n-13) +1929659835323795485*a(n-14) +90093226296032329771*a(n-15) -288134852946702870262*a(n-16) -742914836218346528932*a(n-17) +7115855576376274368216*a(n-18) -24955774603971431557536*a(n-19) +63937383750208880620992*a(n-20) -111375370598187857506560*a(n-21) +72057203548966403859456*a(n-22) +76274285418217337610240*a(n-23) -111975434876548575756288*a(n-24) +5300659781619687751680*a(n-25) +29374280040899283517440*a(n-26) -7836898836947747733504*a(n-27) for n>28
Comments