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 A054645 Triangle T(n,k) of asymmetric n X n binary matrices with k=0..n^2 ones under action of dihedral group of the square D_4. 0
 0, 0, 2, 6, 10, 10, 6, 2, 0, 0, 0, 1, 10, 63, 207, 525, 954, 1395, 1550, 1395, 954, 525, 207, 63, 10, 1, 0, 0, 1, 28, 258, 1503, 6475, 21810, 59540, 134333, 254178, 407040, 555356, 648054, 648054, 555356, 407040, 254178, 134333, 59540, 21810, 6475 (list; graph; refs; listen; history; text; internal format)
 OFFSET 3,3 COMMENTS Row sums give A054385. LINKS EXAMPLE The batch [0,0,2,6,10,10,6,2,0,0] gives the numbers of asymmetric 3 X 3 binary matrices with k=0..9 ones under action of dihedral group of the square D_4. There are 6 nonequivalent asymmetric 3 X 3 binary matrices with 3 ones under action of D_4: [0 0 0] [0 0 0] [0 0 0] [0 0 0] [0 0 0] [0 0 1] [0 0 1] [0 0 1] [0 1 0] [0 1 1] [1 0 1] [0 0 0] [1 0 1] [1 1 0] [0 1 1] [1 0 0] [0 0 1] [1 1 0]. CROSSREFS Cf. A054252. Sequence in context: A141257 A122882 A136700 * A337645 A225271 A050425 Adjacent sequences:  A054642 A054643 A054644 * A054646 A054647 A054648 KEYWORD nonn,tabf,nice AUTHOR Vladeta Jovovic, May 15 2000 STATUS approved

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Last modified June 18 23:16 EDT 2021. Contains 345125 sequences. (Running on oeis4.)