A223641 Number of nX5 0..1 arrays with rows, columns, diagonals and antidiagonals unimodal

16, 256, 2014, 9808, 36947, 120307, 354726, 967582, 2469396, 5941152, 13555296, 29475566, 61346859, 122671803, 236477826, 440811016, 796753648, 1399853788, 2396080742, 4003682172, 6542620323, 10473608867, 16449161244, 25379498938

Offset

1,1

Comments

Column 5 of A223644

Links

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

Formula

Empirical: a(n) = (359/453600)*n^10 - (391/18144)*n^9 + (27901/60480)*n^8 - (5318/945)*n^7 + (220373/5400)*n^6 + (42079/4320)*n^5 - (611182913/181440)*n^4 + (204761033/5670)*n^3 - (1618325179/8400)*n^2 + (680702213/1260)*n - 629380 for n>7

Example

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

Crossrefs

Sequence in context: A296779 A188994 A208075 * A223682 A189066 A189191

Adjacent sequences: A223638 A223639 A223640 * A223642 A223643 A223644

Keyword

nonn

Author

R. H. Hardin Mar 24 2013

Status

approved