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A223769 Number of nX7 0..1 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing 1
29, 267, 1097, 3141, 7564, 16742, 35513, 73427, 149053, 297518, 583860, 1125118, 2126567, 3939287, 7150127, 12719513, 22189580, 37994506, 63918056, 105761409, 172308985, 276713314, 438464653, 686170386, 1061447357, 1624332246 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 7 of A223770

LINKS

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

FORMULA

Empirical: a(n) = (1/87178291200)*n^14 - (1/1779148800)*n^13 + (1/38320128)*n^12 - (127/191600640)*n^11 + (311/12441600)*n^10 - (2021/3225600)*n^9 + (2304587/121927680)*n^8 - (6921119/17418240)*n^7 + (278861369/43545600)*n^6 - (1599083081/21772800)*n^5 + (2209531079/3421440)*n^4 - (4215012997/997920)*n^3 + (3157078175059/151351200)*n^2 - (25129653953/360360)*n + 120027 for n>10

EXAMPLE

Some solutions for n=3

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

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

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

CROSSREFS

Sequence in context: A146038 A142683 A042634 * A224157 A223776 A224408

Adjacent sequences:  A223766 A223767 A223768 * A223770 A223771 A223772

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 27 2013

STATUS

approved

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Last modified October 27 09:08 EDT 2020. Contains 338035 sequences. (Running on oeis4.)