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A278672 Number of nX4 0..1 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly one mistake. 1
10, 99, 579, 2650, 10584, 38848, 134265, 441349, 1384443, 4148373, 11882640, 32576006, 85619948, 216195769, 525654868, 1233512143, 2800037121, 6161774705, 13172137674, 27405600826, 55592487870, 110125213825, 213350721015 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A278676.

LINKS

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

FORMULA

Empirical: a(n) = (1/2432902008176640000)*n^20 + (1/16219346721177600)*n^19 + (113/25609494822912000)*n^18 + (19/94849980825600)*n^17 + (2719/418455797760000)*n^16 + (6689/41845579776000)*n^15 + (2324129/753220435968000)*n^14 + (1200247/25107347865600)*n^13 + (351438179/579400335360000)*n^12 + (1259149/195084288000)*n^11 + (254340707/4291854336000)*n^10 + (620067937/1287556300800)*n^9 + (236029006781/67251824640000)*n^8 + (715300432229/31384184832000)*n^7 + (12122971872241/94152554496000)*n^6 + (39838863931/69742632960)*n^5 + (192914714452637/111152321280000)*n^4 + (1979357687401/617512896000)*n^3 + (1837396540403/586637251200)*n^2 + (3628307/3023280)*n

EXAMPLE

Some solutions for n=4

..0..0..0..0. .0..0..0..0. .1..0..1..0. .0..0..0..0. .1..1..0..0

..1..1..1..0. .0..0..1..1. .1..0..1..0. .1..1..0..0. .0..0..1..1

..0..0..0..0. .1..0..0..0. .1..0..1..0. .1..0..1..1. .1..0..1..1

..1..1..1..1. .1..0..1..1. .1..1..1..0. .1..1..1..0. .1..1..1..0

CROSSREFS

Cf. A278676.

Sequence in context: A007137 A135927 A299952 * A129542 A224752 A224761

Adjacent sequences:  A278669 A278670 A278671 * A278673 A278674 A278675

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 25 2016

STATUS

approved

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Last modified February 21 20:43 EST 2020. Contains 332111 sequences. (Running on oeis4.)