A198982 -id:A198982 - cp's OEIS frontend

A198977 Number of nX3 0..5 arrays with values 0..5 introduced in row major order and no element equal to any horizontal or vertical neighbor.

2, 34, 1835, 146286, 12662226, 1112962873, 98102456246, 8651794282083, 763087851014929, 67305520316532514, 5936469991284318525, 523607833526831199696, 46183202315902474606576, 4073445973766659727007243

Offset: 1

R. H. Hardin Nov 01 2011

nonn

Column 3 of A198982

			Some solutions with all values from 0 to 5 for n=4
..0..1..2....0..1..2....0..1..2....0..1..2....0..1..2....0..1..0....0..1..2
..3..2..1....3..4..0....3..4..0....3..2..1....3..2..1....2..0..1....3..0..4
..0..4..5....1..0..2....4..5..1....1..0..4....4..1..5....3..2..3....0..2..0
..3..5..3....5..3..4....1..3..4....5..1..0....3..0..4....0..4..5....3..5..2

R. H. Hardin, Table of n, a(n) for n = 1..200

Empirical: a(n) = 116*a(n-1) -2685*a(n-2) +21394*a(n-3) -74475*a(n-4) +117904*a(n-5) -80343*a(n-6) +18090*a(n-7)

A198978 Number of nX4 0..5 arrays with values 0..5 introduced in row major order and no element equal to any horizontal or vertical neighbor.

Original entry on oeis.org

5, 481, 146286, 53082012, 19622872903, 7267830860056, 2692353648978984, 997397244990907738, 369492074075459555844, 136880688981914387733120, 50708322978926251631508008, 18785221234054066344117511329

Offset: 1

R. H. Hardin Nov 01 2011

nonn

Column 4 of A198982

			Some solutions with all values from 0 to 5 for n=5
..0..1..0..1....0..1..0..1....0..1..0..1....0..1..0..1....0..1..0..1
..1..0..1..0....1..0..1..0....1..0..1..0....1..0..1..0....1..0..1..0
..2..3..0..1....2..3..0..1....2..3..0..1....2..3..0..1....2..1..0..3
..0..4..3..5....0..1..4..3....4..1..5..3....4..5..4..3....0..3..4..2
..1..5..2..1....4..5..3..1....5..3..4..0....3..4..5..0....5..2..3..0

R. H. Hardin, Table of n, a(n) for n = 1..200

Empirical: a(n) = 454*a(n-1) -33435*a(n-2) +955655*a(n-3) -13146749*a(n-4) +95351613*a(n-5) -373512375*a(n-6) +780821577*a(n-7) -866661210*a(n-8) +478426797*a(n-9) -102202326*a(n-10)

A198979 Number of nX5 0..5 arrays with values 0..5 introduced in row major order and no element equal to any horizontal or vertical neighbor.

Original entry on oeis.org

15, 8731, 12662226, 19622872903, 30525244435834, 47495195899845037, 73900197917712351603, 114985169155743145765664, 178911424288565716160545667, 278377620790460864731769016202

Offset: 1

R. H. Hardin Nov 01 2011

nonn

Column 5 of A198982

			Some solutions with all values from 0 to 5 for n=4
..0..1..0..2..3....0..1..2..3..4....0..1..2..1..0....0..1..2..3..2
..1..0..1..4..2....1..0..1..4..1....1..0..1..2..3....1..0..1..0..3
..0..3..0..3..1....0..3..0..3..0....0..3..0..1..2....0..3..0..4..0
..3..0..4..0..5....3..0..4..1..5....3..0..4..5..1....3..0..3..2..5

R. H. Hardin, Table of n, a(n) for n = 1..118

Empirical: a(n) = 1919*a(n-1) -618345*a(n-2) +87289985*a(n-3) -6569574565*a(n-4) +278610016111*a(n-5) -6494675901838*a(n-6) +68671059116490*a(n-7) +172591767439289*a(n-8) -13348281831215275*a(n-9) +160607442902203491*a(n-10) -980646097424848279*a(n-11) +3301315800351613573*a(n-12) -5146582047324378787*a(n-13) -2530332306059747340*a(n-14) +26669206285409451180*a(n-15) -51683930686978851864*a(n-16) +51325265833875086656*a(n-17) -28242314477005082400*a(n-18) +8055054564912000000*a(n-19) -914531071104000000*a(n-20)

A198980 Number of nX6 0..5 arrays with values 0..5 introduced in row major order and no element equal to any horizontal or vertical neighbor.

Original entry on oeis.org

52, 174454, 1112962873, 7267830860056, 47495195899845037, 310387893630465965693, 2028430770889558380053172, 13256095277348005849607178346, 86630544487196927129344081838138

Offset: 1

R. H. Hardin Nov 01 2011

nonn

Column 6 of A198982

			Some solutions with all values from 0 to 5 for n=4
..0..1..0..2..0..2....0..1..0..1..0..1....0..1..0..2..0..3....0..1..0..2..3..4
..1..0..1..0..3..1....1..0..1..0..2..0....1..0..1..0..2..4....1..0..1..0..4..0
..0..3..0..1..4..5....0..3..0..1..4..2....0..3..0..1..4..3....0..3..0..1..0..2
..3..0..1..2..1..0....3..0..1..0..5..1....3..0..1..4..2..5....3..0..1..0..1..5

R. H. Hardin, Table of n, a(n) for n = 1..28

A198981 Number of nX7 0..5 arrays with values 0..5 introduced in row major order and no element equal to any horizontal or vertical neighbor.

Original entry on oeis.org

202, 3603244, 98102456246, 2692353648978984, 73900197917712351603, 2028430770889558380053172, 55676868201599759013090066735, 1528232414884966866457407229662199

Offset: 1

R. H. Hardin Nov 01 2011

nonn

Column 7 of A198982

			Some solutions with all values from 0 to 5 for n=4
..0..1..0..1..0..1..2....0..1..0..1..0..2..0....0..1..0..1..0..2..1
..1..0..1..0..3..2..4....1..0..1..0..3..0..4....1..0..1..0..3..4..5
..0..3..0..1..0..4..0....0..3..0..1..2..4..0....0..3..0..1..0..1..4
..3..0..1..0..5..3..5....3..0..1..0..4..5..4....3..0..1..0..1..5..3

cp's OEIS Frontend

A198977 Number of nX3 0..5 arrays with values 0..5 introduced in row major order and no element equal to any horizontal or vertical neighbor.

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A198978 Number of nX4 0..5 arrays with values 0..5 introduced in row major order and no element equal to any horizontal or vertical neighbor.

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A198979 Number of nX5 0..5 arrays with values 0..5 introduced in row major order and no element equal to any horizontal or vertical neighbor.

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A198980 Number of nX6 0..5 arrays with values 0..5 introduced in row major order and no element equal to any horizontal or vertical neighbor.

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A198981 Number of nX7 0..5 arrays with values 0..5 introduced in row major order and no element equal to any horizontal or vertical neighbor.

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Examples