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A224406 Number of n X 5 0..1 arrays with rows unimodal and antidiagonals nondecreasing. 1
16, 101, 465, 1928, 7812, 31710, 129402, 529846, 2172346, 8908986, 36534670, 149811438, 614276002, 2518688490, 10327233902, 42344211246, 173621959826, 711894378346, 2918949452350, 11968441441998, 49073678703842 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 of A224409.

LINKS

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

FORMULA

Empirical: a(n) = 6*a(n-1) - 9*a(n-2) + 4*a(n-3) + 2*a(n-4) + 8*a(n-5).

Empirical g.f.: x*(1 - x)*(16 + 21*x + 24*x^2 + 7*x^3) / (1 - 6*x + 9*x^2 - 4*x^3 - 2*x^4 - 8*x^5). - Colin Barker, Aug 30 2018

EXAMPLE

Some solutions for n=3:

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

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

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

CROSSREFS

Cf. A224409.

Sequence in context: A223767 A223774 A224155 * A223016 A253390 A264281

Adjacent sequences:  A224403 A224404 A224405 * A224407 A224408 A224409

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 05 2013

STATUS

approved

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Last modified August 9 05:12 EDT 2020. Contains 336319 sequences. (Running on oeis4.)