A268079 -id:A268079 - cp's OEIS frontend

A268075 Number of n X 4 nonnegative integer arrays with new values introduced in each row and column in sequential order starting with zero.

1, 8, 86, 1094, 15106, 216734, 3168306, 46777214, 694585586, 10350077054, 154574246386, 2311895643134, 34611510356466, 518504697774974, 7770897334266866, 116496760974182654, 1746784585901429746

Offset: 1

R. H. Hardin, Jan 25 2016

nonn

			Some solutions for n=5:
..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
..0..0..1..0....0..1..1..0....0..0..0..1....0..0..0..1....0..1..0..1
..0..1..2..0....0..0..1..0....0..0..1..2....0..0..1..0....0..1..0..0
..0..0..1..0....0..0..0..1....0..0..0..1....0..1..0..1....0..0..1..1
..0..0..1..0....0..1..1..0....0..1..0..1....0..1..1..1....0..1..1..1

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

Column 4 of A268079.

Empirical: a(n) = 36*a(n-1) - 463*a(n-2) + 2640*a(n-3) - 6700*a(n-4) + 6000*a(n-5).

Empirical g.f.: x*(1 - 28*x + 261*x^2 - 938*x^3 + 1120*x^4) / ((1 - 2*x)*(1 - 4*x)*(1 - 5*x)*(1 - 10*x)*(1 - 15*x)). - Colin Barker, Jan 11 2019

A268076 Number of nX5 nonnegative integer arrays with new values introduced in each row and column in sequential order starting with zero.

Original entry on oeis.org

1, 16, 422, 15106, 637358, 29309170, 1412290158, 69903748498, 3516426536462, 178686293830258, 9139087028036654, 469438600587725650, 24183675338723351886, 1248401566412796398386, 64540016642793090405230

Offset: 1

R. H. Hardin, Jan 25 2016

nonn

Column 5 of A268079.

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

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

Cf. A268079.

Empirical: a(n) = 275*a(n-1) -33566*a(n-2) +2406402*a(n-3) -113010337*a(n-4) +3670826083*a(n-5) -84876036304*a(n-6) +1415919602008*a(n-7) -17080706925232*a(n-8) +147810424834032*a(n-9) -899681247349760*a(n-10) +3716228243456000*a(n-11) -9782712920320000*a(n-12) +14560347732480000*a(n-13) -9122816102400000*a(n-14)

A268077 Number of nX6 nonnegative integer arrays with new values introduced in each row and column in sequential order starting with zero.

Original entry on oeis.org

1, 32, 2094, 216734, 29309170, 4617638834, 795460720710, 144635795908942, 27199854725237562, 5226964431904629706, 1018922182295162250542, 200570604681259480340550, 39753457499625567327509026

Offset: 1

R. H. Hardin, Jan 25 2016

nonn

Column 6 of A268079.

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

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical recurrence of order 45

Cf. A268079.

Empirical recurrence of order 45 (see link above)

A268078 Number of nX7 nonnegative integer arrays with new values introduced in each row and column in sequential order starting with zero.

Original entry on oeis.org

1, 64, 10438, 3168306, 1412290158, 795460720710, 517992936833258, 369867566612849678, 280350778114908738774, 221061578416502345763162, 179038866982147711159785106, 147727481298984892538689733334

Offset: 1

R. H. Hardin, Jan 25 2016

nonn

Column 7 of A268079.

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

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

Cf. A268079.

A268074 Number of n X n nonnegative integer arrays with new values introduced in each row and column in sequential order starting with zero.

Original entry on oeis.org

1, 2, 18, 1094, 637358, 4617638834, 517992936833258, 1088597786720842334698, 50735031335891092927048172910, 60946941227979732761779089927221771422

Offset: 1

R. H. Hardin, Jan 25 2016

nonn

Diagonal of A268079.

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

Cf. A268079.

cp's OEIS Frontend

A268075 Number of n X 4 nonnegative integer arrays with new values introduced in each row and column in sequential order starting with zero.

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A268076 Number of nX5 nonnegative integer arrays with new values introduced in each row and column in sequential order starting with zero.

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A268077 Number of nX6 nonnegative integer arrays with new values introduced in each row and column in sequential order starting with zero.

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A268078 Number of nX7 nonnegative integer arrays with new values introduced in each row and column in sequential order starting with zero.

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A268074 Number of n X n nonnegative integer arrays with new values introduced in each row and column in sequential order starting with zero.

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Author

Keywords

Comments

Examples

Crossrefs