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

1,1

Comments

Column 5 of A208864

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

Example

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

Crossrefs

Sequence in context: A241332 A202886 A223059 * A208869 A208876 A208172

Adjacent sequences: A208858 A208859 A208860 * A208862 A208863 A208864

Keyword

nonn

Author

R. H. Hardin Mar 02 2012

Status

approved