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A223642 Number of nX6 0..1 arrays with rows, columns, diagonals and antidiagonals unimodal 1
22, 484, 4904, 28450, 120307, 428187, 1370104, 4063584, 11337648, 29980136, 75501066, 181755554, 419574383, 931417149, 1993443114, 4122964868, 8258744026, 16054980456, 30348305906, 55882034882, 100405014805, 176305599685 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 6 of A223644

LINKS

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

FORMULA

Empirical: a(n) = (271/5443200)*n^12 - (5527/1995840)*n^11 + (55709/544320)*n^10 - (179285/72576)*n^9 + (69131681/1814400)*n^8 - (2290717/10080)*n^7 - (649163341/136080)*n^6 + (54977562187/362880)*n^5 - (2886586169891/1360800)*n^4 + (1624780719439/90720)*n^3 - (17508153293/189)*n^2 + (926735309999/3465)*n - 321893740 for n>13

EXAMPLE

Some solutions for n=4

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

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

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

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

CROSSREFS

Sequence in context: A207964 A262469 A207446 * A207744 A207721 A223737

Adjacent sequences:  A223639 A223640 A223641 * A223643 A223644 A223645

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 24 2013

STATUS

approved

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Last modified October 18 08:58 EDT 2021. Contains 348067 sequences. (Running on oeis4.)