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A244288 Number of binary arrangements of total n 1's, without adjacent 1's on n X n array connected nw-se. 0
1, 5, 57, 1084, 29003, 999717, 42125233, 2096106904, 120194547233, 7799803041491, 564856080384900, 45146219773912540, 3946445378386791157, 374482268128153003615, 38330653031858936914329, 4209191997519328986666624 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..16.

V. Kotesovec, Non-attacking chess pieces, 6ed, 2013, p.422

FORMULA

a(n) ~ n^(2*n)/n! * exp(-3/2).

CROSSREFS

Cf. A197989, A201540, A201511, A201861, A201513, A244284.

Sequence in context: A155539 A285067 A234293 * A009480 A009481 A209498

Adjacent sequences:  A244285 A244286 A244287 * A244289 A244290 A244291

KEYWORD

nonn,hard,more

AUTHOR

Vaclav Kotesovec, Jun 25 2014

EXTENSIONS

a(16) from Vaclav Kotesovec, Sep 04 2016

STATUS

approved

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Last modified September 15 02:19 EDT 2019. Contains 327062 sequences. (Running on oeis4.)