A223672 - OEIS

A223672

Number of 5 X n 0..1 arrays with rows, diagonals and antidiagonals unimodal.

32, 1024, 10327, 44693, 136289, 364959, 920106, 2218590, 5118463, 11300965, 23936447, 48791299, 95996333, 182794485, 337692452, 606574002, 1061493687, 1813061935, 3027558649, 4950175307, 7936087995, 12491408683, 19326452244

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OFFSET

1,1

COMMENTS

Row 5 of A223669.

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 + (5825/12096)*n^8 - (13241/3780)*n^7 - (41189/675)*n^6 + (10637083/4320)*n^5 - (1341019765/36288)*n^4 + (7101447161/22680)*n^3 - (37771550507/25200)*n^2 + (2233774483/630)*n - 2534086 for n>12.

EXAMPLE

Some solutions for n=4

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

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

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

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

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

CROSSREFS

Cf. A223669.

Sequence in context: A029548 A016745 A189267 * A189620 A189692 A188743

Adjacent sequences: A223669 A223670 A223671 * A223673 A223674 A223675

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 25 2013

STATUS

approved