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A047938 Number of ways to label points of an n X n grid with 3 colors, up to rotational symmetry. 2
1, 3, 24, 4995, 10763361, 211822552035, 37523658921114744, 59824832307866205347043, 858420955073128584419531008641, 110856622060759442496180656754310346403 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Labels of adjacent points need not be distinct.

LINKS

Table of n, a(n) for n=0..9.

FORMULA

a(n) = (m^(n^2) + 2 m^((n^2 + 3 (n mod 2))/4) + m^((n^2 + (n mod 2))/2))/4, with m = 3

CROSSREFS

A column of the triangle in A047265. See A068253 for number of proper colorings.

Cf. A054739, A047937-A047945.

Sequence in context: A000856 A242117 A047678 * A297481 A297533 A080202

Adjacent sequences:  A047935 A047936 A047937 * A047939 A047940 A047941

KEYWORD

nonn

AUTHOR

Rob Pratt

STATUS

approved

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Last modified September 15 08:37 EDT 2019. Contains 327062 sequences. (Running on oeis4.)