

A223636


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


1



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



