A268003 -id:A268003 - cp's OEIS frontend

A268004 Number of 1Xn 0..n arrays with every repeated value in every row and column equal to the previous repeated value, and new values introduced in row-major sequential order.

1, 2, 5, 14, 45, 163, 657, 2910, 14020, 72860, 405610, 2404875, 15111771, 100221229, 698963970, 5110106721, 39055225870, 311266844753, 2581286974308, 22229605651905, 198447018330411, 1833460269345737, 17505367714550240

Offset: 1

R. H. Hardin, Jan 24 2016

nonn

Row 1 of A268003.

			Some solutions for n=8
..0..1..2..3..0..1..0..0....0..0..1..2..0..0..3..1....0..1..2..1..2..0..0..0

R. H. Hardin, Table of n, a(n) for n = 1..122

Cf. A268003.

A268005 Number of 2Xn 0..n arrays with every repeated value in every row and column equal to the previous repeated value, and new values introduced in row-major sequential order.

Original entry on oeis.org

2, 14, 187, 3552, 93311, 3201247, 137687080, 7202412402, 447845857496, 32517659156620, 2718146870737975, 258534983638151774, 27707842486101101991, 3318064979477703022623, 440767981147466114439164

Offset: 1

R. H. Hardin, Jan 24 2016

nonn

Row 2 of A268003.

			Some solutions for n=5
..0..1..0..1..2....0..1..2..1..2....0..1..2..0..2....0..1..2..3..1
..1..3..0..4..4....1..1..0..3..1....3..3..0..3..4....4..0..4..0..0

R. H. Hardin, Table of n, a(n) for n = 1..26

Cf. A268003.

A268001 Number of nX3 0..3 arrays with every repeated value in every row and column equal to the previous repeated value, and new values introduced in row-major sequential order.

Original entry on oeis.org

5, 187, 11051, 605969, 30785259, 1470330667, 67008101445, 2944599816411, 125706066735275, 5242030752088705, 214415067889783787, 8630067531496437419, 342667326200750867781, 13449611781551533928443, 522684986470551747072555

Offset: 1

R. H. Hardin, Jan 24 2016

nonn

Column 3 of A268003.

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

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

Cf. A268003.

Empirical: a(n) = 124*a(n-1) -5667*a(n-2) +109756*a(n-3) -600624*a(n-4) -4644332*a(n-5) +20286127*a(n-6) +74454300*a(n-7) -192750803*a(n-8) -474040024*a(n-9) +743672544*a(n-10) +1126555256*a(n-11) -1288430571*a(n-12) -889741996*a(n-13) +948105695*a(n-14) +142093020*a(n-15) -241931952*a(n-16) +27042228*a(n-17) +11714301*a(n-18) -1828332*a(n-19) -59049*a(n-20)

A268002 Number of nX4 0..4 arrays with every repeated value in every row and column equal to the previous repeated value, and new values introduced in row-major sequential order.

Original entry on oeis.org

14, 3552, 1880990, 982227549, 477324637497, 217487430054270, 94140118844723912, 39105380203795427033, 15706598714125002923524, 6134460937389813920089978, 2340046547460981434121930658

Offset: 1

R. H. Hardin, Jan 24 2016

nonn

Column 4 of A268003.

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

R. H. Hardin, Table of n, a(n) for n = 1..17

Cf. A268003.

A268006 Number of 3Xn 0..n arrays with every repeated value in every row and column equal to the previous repeated value, and new values introduced in row-major sequential order.

Original entry on oeis.org

4, 122, 11051, 1880990, 555258347, 256785961187, 172734549522161, 159978813272172457, 195695804013150974073, 306159594755630395108860, 597115754061736885180703542

Offset: 1

R. H. Hardin, Jan 24 2016

nonn

Row 3 of A268003.

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

Cf. A268003.

cp's OEIS Frontend

A268004 Number of 1Xn 0..n arrays with every repeated value in every row and column equal to the previous repeated value, and new values introduced in row-major sequential order.

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A268005 Number of 2Xn 0..n arrays with every repeated value in every row and column equal to the previous repeated value, and new values introduced in row-major sequential order.

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A268001 Number of nX3 0..3 arrays with every repeated value in every row and column equal to the previous repeated value, and new values introduced in row-major sequential order.

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A268002 Number of nX4 0..4 arrays with every repeated value in every row and column equal to the previous repeated value, and new values introduced in row-major sequential order.

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A268006 Number of 3Xn 0..n arrays with every repeated value in every row and column equal to the previous repeated value, and new values introduced in row-major sequential order.

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Author

Keywords

Comments

Examples

Crossrefs