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 A286393 Number of inequivalent n X n matrices over GF(7) under action of dihedral group of the square D_4. 5
 1, 7, 406, 5105212, 4154189102413, 167633579843887699759, 331466355732596931093508048522, 32115447190132359991237336502881651018804, 152470060954479462517322396167243320349298407119379801 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Burnside's orbit-counting lemma LINKS María Merino, Table of n, a(n) for n = 0..34 M. Merino and I. Unanue, Counting squared grid patterns with Pólya Theory, EKAIA, 34 (2018), 289-316 (in Basque). FORMULA a(n) = (1/8)*(7^(n^2) + 2*7^(n^2/4) + 3*7^(n^2/2) + 2*7^((n^2 + n)/2)) if n is even; a(n) = (1/8)*(7^(n^2) + 2*7^((n^2 + 3)/4) + 7^((n^2 + 1)/2) + 4*7^((n^2 + n)/2)) if n is odd. CROSSREFS Cf. A054247, A054739, A054751, A054752, A286392. Sequence in context: A215562 A099125 A172894 * A099742 A287033 A331338 Adjacent sequences:  A286390 A286391 A286392 * A286394 A286395 A286396 KEYWORD nonn AUTHOR María Merino, Imanol Unanue, Yosu Yurramendi, May 08 2017 STATUS approved

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Last modified February 17 17:59 EST 2020. Contains 331999 sequences. (Running on oeis4.)