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 A205657 Number of (n+1) X 7 0..3 arrays with every 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors and no 2 X 2 subblock having the same number of counterclockwise edge increases as its vertical neighbors. 1

%I #9 Mar 02 2023 14:18:16

%S 7854572,76028256,711793356,10795687000,183567605276,2994560119488,

%T 54588666013136,946322990916328,17957465680336828,316121808578717168,

%U 6072355548317464448,107584942896241083216,2075883483766878489344

%N Number of (n+1) X 7 0..3 arrays with every 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors and no 2 X 2 subblock having the same number of counterclockwise edge increases as its vertical neighbors.

%C Column 6 of A205659.

%H R. H. Hardin, <a href="/A205657/b205657.txt">Table of n, a(n) for n = 1..36</a>

%e Some solutions for n=4:

%e ..2..3..0..0..2..0..3....1..0..0..0..0..3..1....3..3..1..0..0..0..0

%e ..3..1..3..2..1..2..1....2..2..0..2..0..3..1....0..3..1..2..3..0..3

%e ..1..1..1..1..1..1..1....1..3..1..0..1..0..2....1..0..3..2..1..3..0

%e ..1..1..1..1..1..1..1....2..3..1..0..1..0..2....1..0..3..0..1..3..0

%e ..0..0..0..1..2..1..3....1..1..3..1..2..1..3....3..2..1..0..2..1..2

%Y Cf. A205659.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 30 2012

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Last modified February 26 16:20 EST 2024. Contains 370352 sequences. (Running on oeis4.)