A278807 -id:A278807 - cp's OEIS frontend

A278802 Number of nX3 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order.

10, 63, 322, 1439, 5767, 20972, 69834, 214774, 615120, 1653047, 4196501, 10123619, 23327383, 51572441, 109818385, 225997932, 450803519, 873872396, 1649976645, 3040564120, 5478446820, 9666837555, 16728604905, 28427944695, 47495149011

Offset: 1

R. H. Hardin, Nov 28 2016

nonn

Column 3 of A278807.

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

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

Cf. A278807.

Empirical: a(n) = (1/20922789888000)*n^16 + (1/201180672000)*n^15 + (257/1046139494400)*n^14 + (1/130636800)*n^13 + (19241/114960384000)*n^12 + (3523/1306368000)*n^11 + (241517/7315660800)*n^10 + (284771/914457600)*n^9 + (336468511/146313216000)*n^8 + (35482669/2612736000)*n^7 + (376442771/5748019200)*n^6 + (46737917/179625600)*n^5 + (361669107043/435891456000)*n^4 + (250175041/127008000)*n^3 + (375648041/121080960)*n^2 + (13891/5040)*n + 1

A278803 Number of n X 4 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order.

Original entry on oeis.org

15, 154, 1439, 12958, 110455, 870473, 6275546, 41370842, 250517485, 1402100369, 7299678838, 35565305995, 163045228099, 706720556002, 2908736101561, 11411036414661, 42812862296055, 154084456853488, 533397095123831

Offset: 1

R. H. Hardin, Nov 28 2016

nonn

Column 4 of A278807.

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

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical polynomial of degree 44

Cf. A278807.

Empirical polynomial of degree 44 (see link above).

A278804 Number of n X 5 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order.

Original entry on oeis.org

21, 336, 5767, 110455, 2179956, 41299256, 725674326, 11698232451, 172994405326, 2356249442222, 29713542257399, 348752692539813, 3828597575581476, 39486426123589674, 384123325152744838, 3537191225894230125

Offset: 1

R. H. Hardin, Nov 28 2016

nonn

Column 5 of A278807.

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

R. H. Hardin, Table of n, a(n) for n = 1..109

Cf. A278807.

A278805 Number of nX6 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order.

Original entry on oeis.org

28, 672, 20972, 870473, 41299256, 1976588468, 89730161098, 3776527762052, 146582077597322, 5255148833158068, 174697385422916429, 5408652963998274118, 156617481905320805788, 4258375831859896074183, 109105728055490259454053

Offset: 1

R. H. Hardin, Nov 28 2016

nonn

Column 6 of A278807.

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

R. H. Hardin, Table of n, a(n) for n = 1..48

Cf. A278807.

A278806 Number of n X 7 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order.

Original entry on oeis.org

36, 1254, 69834, 6275546, 725674326, 89730161098, 10811999412826, 1224101415304069, 128795068372302728, 12581278164317910030, 1143931690129837256876, 97156838914464540981998

Offset: 1

R. H. Hardin, Nov 28 2016

nonn

Column 7 of A278807.

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

R. H. Hardin, Table of n, a(n) for n = 1..20

Cf. A278807.

cp's OEIS Frontend

A278802 Number of nX3 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order.

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A278803 Number of n X 4 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order.

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A278804 Number of n X 5 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order.

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A278805 Number of nX6 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order.

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A278806 Number of n X 7 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order.

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Author

Keywords

Comments

Examples

Links

Crossrefs