A222142 Number of nX6 0..4 arrays with no entry increasing mod 5 by 4 rightwards or downwards, starting with upper left zero

1024, 1485172, 2154990196, 3127020364012, 4537511642094436, 6584229526795818280, 9554152945600145235628, 13863708507689968892320744, 20117158974980617877295384292, 29191329651902717463310508940292

Offset

1,1

Comments

Column 6 of A222144

Links

R. H. Hardin, Table of n, a(n) for n = 1..111

Formula

Empirical: a(n) = 1910*a(n-1) -746856*a(n-2) +124320628*a(n-3) -10313248058*a(n-4) +417297259303*a(n-5) -5371776948993*a(n-6) -144881780734145*a(n-7) +5274831960463364*a(n-8) -45780209792137640*a(n-9) -140573041383130216*a(n-10) +3955153630968769080*a(n-11) -18222739641404543648*a(n-12) +22673499799174192384*a(n-13)

Example

Some solutions for n=2
..0..0..0..3..3..4....0..0..1..1..4..1....0..0..1..1..3..4....0..0..1..3..4..1
..3..1..1..4..1..2....2..0..3..1..2..2....2..0..2..4..4..0....0..0..1..4..2..4

Crossrefs

Sequence in context: A031155 A140300 A223355 * A185564 A016798 A330485

Adjacent sequences: A222139 A222140 A222141 * A222143 A222144 A222145

Keyword

nonn

Author

R. H. Hardin Feb 09 2013

Status

approved