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A278358 Number of nX3 0..1 arrays with rows and columns in lexicographic nondecreasing order but with exactly one mistake. 1
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 (list; graph; refs; listen; history; text; internal format)
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: A267886 A034512 A240194 * A274751 A015534 A306054

Adjacent sequences:  A278355 A278356 A278357 * A278359 A278360 A278361

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 19 2016

STATUS

approved

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Last modified May 23 00:47 EDT 2022. Contains 353959 sequences. (Running on oeis4.)