A223636 Number of nX7 0..1 arrays with rows, antidiagonals and columns unimodal

29, 841, 12657, 114713, 748950, 3907140, 17224974, 66448428, 229624238, 723456027, 2106393383, 5727793388, 14669871333, 35633091730, 82556882471, 183320486518, 391738700030, 808400385799, 1615892668057, 3136875572418

Offset

1,1

Comments

Column 7 of A223637

Links

R. H. Hardin, Table of n, a(n) for n = 1..201

Formula

Empirical: a(n) = (503/209563200)*n^14 - (76217/778377600)*n^13 + (88483/23950080)*n^12 - (1160261/17107200)*n^11 + (158917/435456)*n^10 + (88785757/3628800)*n^9 - (2720678887/3048192)*n^8 + (182706654569/10886400)*n^7 - (2182833462133/10886400)*n^6 + (2369225181061/1555200)*n^5 - (18729229340021/2993760)*n^4 + (2512793025389/9979200)*n^3 + (795324348531341/5821200)*n^2 - (56828168983661/90090)*n + 981755694 for n>12

Example

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

Crossrefs

Sequence in context: A097782 A223643 A223668 * A223619 A223679 A171303

Adjacent sequences: A223633 A223634 A223635 * A223637 A223638 A223639

Keyword

nonn

Author

R. H. Hardin Mar 24 2013

Status

approved