A223643 Number of nX7 0..1 arrays with rows, columns, diagonals and antidiagonals unimodal

29, 841, 10797, 74599, 354726, 1370104, 4682514, 14767708, 43862845, 124004457, 335617558, 872372014, 2182675327, 5267049151, 12280118231, 27708360959, 60600014150, 128659653568, 265553503693, 533599565121, 1045268782162

Offset

1,1

Comments

Column 7 of A223644

Links

R. H. Hardin, Table of n, a(n) for n = 1..78

Formula

Empirical: a(n) = (503/209563200)*n^14 - (185069/778377600)*n^13 + (1733819/119750400)*n^12 - (7176551/11975040)*n^11 + (36644381/2177280)*n^10 - (480531353/1814400)*n^9 - (76780811581/76204800)*n^8 + (29262582467/155520)*n^7 - (62420351374933/10886400)*n^6 + (281872655928541/2721600)*n^5 - (74234681724454753/59875200)*n^4 + (3261809312979967/332640)*n^3 - (557318597695013723/11642400)*n^2 + (14542780178794541/120120)*n - 90173668357 for n>19

Example

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

Crossrefs

Sequence in context: A218731 A171334 A097782 * A223668 A223636 A223619

Adjacent sequences: A223640 A223641 A223642 * A223644 A223645 A223646

Keyword

nonn

Author

R. H. Hardin Mar 24 2013

Status

approved