A222144 -id:A222144 - cp's OEIS frontend

A222141 Number of nX5 0..4 arrays with no entry increasing mod 5 by 4 rightwards or downwards, starting with upper left zero.

256, 114244, 50999956, 22767656980, 10164078082036, 4537511642094436, 2025664524518719732, 904309916809657591444, 403707729455406641892052, 180225747607432250658675940, 80457513519867024627155058004

Offset: 1

R. H. Hardin Feb 09 2013

nonn

Column 5 of A222144

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

R. H. Hardin, Table of n, a(n) for n = 1..210

Empirical: a(n) = 542*a(n-1) -45648*a(n-2) +1362782*a(n-3) -14182035*a(n-4) -10420216*a(n-5) +672452128*a(n-6) -1495546560*a(n-7)

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

Original entry on oeis.org

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

Offset: 1

R. H. Hardin Feb 09 2013

nonn

Column 6 of A222144

			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

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

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)

A222143 Number of nX7 0..4 arrays with no entry increasing mod 5 by 4 rightwards or downwards, starting with upper left zero.

Original entry on oeis.org

4096, 19307236, 91058563924, 429480137694664, 2025664524518719732, 9554152945600145235628, 45062665956031451017237456, 212540440581498107104494924076, 1002458198124109454670263957843332

Offset: 1

R. H. Hardin Feb 09 2013

nonn

Column 7 of A222144

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

R. H. Hardin, Table of n, a(n) for n = 1..33

cp's OEIS Frontend

A222141 Number of nX5 0..4 arrays with no entry increasing mod 5 by 4 rightwards or downwards, starting with upper left zero.

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

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Author

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Comments

Examples

Links

Formula

A222143 Number of nX7 0..4 arrays with no entry increasing mod 5 by 4 rightwards or downwards, starting with upper left zero.

Views

Author

Keywords

Comments

Examples

Links