A278358 Number of nX3 0..1 arrays with rows and columns in lexicographic nondecreasing order but with exactly one mistake.

4, 27, 142, 701, 3183, 12875, 46236, 149099, 438091, 1188762, 3012869, 7198373, 16335098, 35425161, 73791748, 148267982, 288389734, 544658465, 1001416052, 1796525377, 3150931185, 5412350915, 9118895376, 15090442305, 24558200485

Offset

1,1

Comments

Column 3 of A278363.

Links

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

Formula

Empirical: a(n) = (1/1307674368000)*n^15 + (1/12454041600)*n^14 + (1/261273600)*n^13 + (103/958003200)*n^12 + (28957/14370048000)*n^11 + (2351/87091200)*n^10 + (493841/1828915200)*n^9 + (23017/12441600)*n^8 + (2500237/326592000)*n^7 + (749051/43545600)*n^6 + (66037039/718502400)*n^5 + (44644261/119750400)*n^4 + (706708321/825552000)*n^3 + (217312/135135)*n^2 + (28943/27720)*n

Example

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

Crossrefs

Cf. A278363.

Sequence in context: A034512 A366486 A240194 * A274751 A015534 A306054

Adjacent sequences: A278355 A278356 A278357 * A278359 A278360 A278361

Keyword

nonn

Author

R. H. Hardin, Nov 19 2016

Status

approved