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A219525 T(n,k)=Sum of neighbor maps: log base 2 of the number of nXk binary arrays indicating the locations of corresponding elements equal to the sum mod 2 of their king-move neighbors in a random 0..1 nXk array 1
1, 1, 1, 3, 1, 3, 4, 3, 3, 4, 4, 4, 9, 4, 4, 6, 4, 12, 12, 4, 6, 7, 6, 12, 16, 12, 6, 7, 7, 7, 18, 16, 16, 18, 7, 7, 9, 7, 21, 24, 16, 24, 21, 7, 9, 10, 9, 21, 28, 24, 24, 28, 21, 9, 10, 10, 10, 27, 28, 28, 36, 28, 28, 27, 10, 10, 12, 10, 30, 36, 28, 42, 42, 28, 36, 30, 10, 12, 13, 12, 30, 40 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Table starts

..1..1..3..4..4..6..7..7..9.10.10.12.13.13.15.16.16

..1..1..3..4..4..6..7..7..9.10.10.12.13.13.15.16

..3..3..9.12.12.18.21.21.27.30.30.36.39.39.45

..4..4.12.16.16.24.28.28.36.40.40.48.52.52

..4..4.12.16.16.24.28.28.36.40.40.48.52

..6..6.18.24.24.36.42.42.54.60.60.72

..7..7.21.28.28.42.49.49.63.70.70

..7..7.21.28.28.42.49.49.63.70

..9..9.27.36.36.54.63.63

.10.10.30.40.40.60.70

.10.10.30.40.40.60

.12.12.36.48.48

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..144

FORMULA

Empirical: T(n,k)=3*((n-1)/3)+(n%3)^2-3*(n%3)+3+((k-1)/3)*(n*3-(((n%3)^2-(n%3))*3)/2)+((k%3)^2-3*(k%3)+2)*((n*3-(((n%3)^2-(n%3))*3)/2)/3) where '%'=modulo and '/'=integer divide truncating towards zero

EXAMPLE

Some solutions for n=3 k=3

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

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

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

CROSSREFS

Sequence in context: A081772 A204217 A296955 * A050121 A029152 A320279

Adjacent sequences:  A219522 A219523 A219524 * A219526 A219527 A219528

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Nov 21 2012

STATUS

approved

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Last modified May 26 07:08 EDT 2022. Contains 354077 sequences. (Running on oeis4.)