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A054752 Number of inequivalent n X n matrices over GF(5) under action of dihedral group of the square D_4. 9
1, 5, 120, 252375, 19076074375, 37252918396015625, 1818989403666496277343750, 2220446049250331744551658935546875, 67762635780344027129112510010600128173828125, 51698788284564229679463057470911735435947895050048828125 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
FORMULA
a(n) = 1/8*(5^(n^2) + 2*5^(n^2/4) + 3*5^(n^2/2) + 2*5^((n^2+n)/2)) if n is even;
a(n) = 1/8*(5^(n^2) + 2*5^((n^2+3)/4) + 5^((n^2+1)/2) + 4*5^((n^2+n)/2)) if n is odd.
CROSSREFS
Column k=5 of A343097.
Cf. A054247.
Sequence in context: A099123 A097993 A172806 * A258978 A128275 A028448
KEYWORD
easy,nonn
AUTHOR
Vladeta Jovovic, May 15 2000
EXTENSIONS
Terms a(9) and beyond from Andrew Howroyd, Apr 15 2021
STATUS
approved

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Last modified March 28 10:55 EDT 2024. Contains 371241 sequences. (Running on oeis4.)