A278627 -id:A278627 - cp's OEIS frontend

A278621 Number of nX2 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly one mistake.

3, 46, 357, 1952, 8518, 31605, 103546, 307087, 838936, 2138608, 5137407, 11719956, 25549096, 53493458, 108027996, 211167710, 400765157, 740380790, 1334456849, 2351234708, 4056807390, 6864961455, 11409118950, 18644841765, 29994129570

Offset: 1

R. H. Hardin, Nov 24 2016

nonn

Column 2 of A278627.

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

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

Cf. A278627.

Empirical: a(n) = (1/1307674368000)*n^15 + (1/12454041600)*n^14 + (149/37362124800)*n^13 + (17/136857600)*n^12 + (3497/1306368000)*n^11 + (241/5806080)*n^10 + (865163/1828915200)*n^9 + (351247/87091200)*n^8 + (2328827/93312000)*n^7 + (698341/6220800)*n^6 + (259070737/718502400)*n^5 + (30620411/39916800)*n^4 + (8765485871/9081072000)*n^3 + (2221837/3603600)*n^2 + (4873/32760)*n

A278622 Number of nX3 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly one mistake.

Original entry on oeis.org

16, 357, 4754, 49503, 439446, 3438414, 24103803, 153073965, 888863183, 4758719096, 23665023516, 110046094356, 481337375925, 1990600963219, 7819169497216, 29290369365213, 105007107699726, 361416768054859

Offset: 1

R. H. Hardin, Nov 24 2016

nonn

Column 3 of A278627.

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

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical polynomial of degree 43

Cf. A278627.

Empirical polynomial of degree 43 (see link above)

A278623 Number of n X 4 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly one mistake.

Original entry on oeis.org

51, 1952, 49503, 1069536, 21121532, 387542112, 6594175430, 103536313036, 1496475492375, 19928249063688, 245280439959902, 2802425055340520, 29863427285241827, 298206737876251916, 2802780797553511873

Offset: 1

R. H. Hardin, Nov 24 2016

nonn

Column 4 of A278627.

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

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical polynomial of degree 125

Cf. A278627.

Empirical polynomial of degree 125 (see link above).

A278624 Number of nX5 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly one mistake.

Original entry on oeis.org

126, 8518, 439446, 21121532, 978005050, 43853346948, 1892563134910, 77595353266488, 2984253200734849, 106802443365088678, 3546576756421791553, 109349563224002187119, 3138905373936577741625, 84191222241450755762521

Offset: 1

R. H. Hardin, Nov 24 2016

nonn

Column 5 of A278627.

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

R. H. Hardin, Table of n, a(n) for n = 1..101

Cf. A278627.

A278625 Number of nX6 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly one mistake.

Original entry on oeis.org

266, 31605, 3438414, 387542112, 43853346948, 4902306226424, 540194658701142, 58237100230743229, 6049936223396297740, 596291979361147397590, 55176657492423943503531, 4770167181501151268299031

Offset: 1

R. H. Hardin, Nov 24 2016

nonn

Column 6 of A278627.

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

R. H. Hardin, Table of n, a(n) for n = 1..47

Cf. A278627.

A278626 Number of nX7 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly one mistake.

Original entry on oeis.org

504, 103546, 24103803, 6594175430, 1892563134910, 540194658701142, 152561415660718514, 42854095125044269456, 11909803616605399424974, 3223604568067184016119193, 835430834890906525681829626

Offset: 1

R. H. Hardin, Nov 24 2016

nonn

Column 7 of A278627.

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

R. H. Hardin, Table of n, a(n) for n = 1..19

Cf. A278627.

cp's OEIS Frontend

A278621 Number of nX2 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly one mistake.

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A278622 Number of nX3 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly one mistake.

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A278623 Number of n X 4 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly one mistake.

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A278624 Number of nX5 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly one mistake.

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A278625 Number of nX6 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly one mistake.

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A278626 Number of nX7 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly one mistake.

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Comments

Examples

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