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A183767 1/32 the number of (n+1) X 5 binary arrays with equal numbers of 2 X 2 subblocks with sum mod two being 0 and 1. 1
12, 280, 7392, 205920, 5912192, 173065984, 5134924800, 153876579840, 4646469273600, 141154845511680, 4309194677698560, 132086184685977600, 4062564621910867968, 125316146802859048960, 3875293808717379141632 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..200

FORMULA

Empirically a(n) = 2^(3*n)*Gamma(2*n+1/2)/(Gamma(n+1/2)*n!). - Peter Luschny, Sep 24 2018

EXAMPLE

Some solutions for 3 X 5:

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

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

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

CROSSREFS

Column 4 of A183772.

Sequence in context: A295037 A295528 A166337 * A009604 A154669 A079519

Adjacent sequences:  A183764 A183765 A183766 * A183768 A183769 A183770

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 06 2011

STATUS

approved

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Last modified August 15 00:08 EDT 2022. Contains 356122 sequences. (Running on oeis4.)