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 A209593 T(n,k)=Number of n X n 0..k arrays with every element equal to a diagonal or antidiagonal reflection 14
 2, 3, 16, 4, 81, 192, 5, 256, 3645, 9216, 6, 625, 28672, 1476225, 663552, 7, 1296, 140625, 51380224, 996451875, 191102976, 8, 2401, 513216, 791015625, 161128382464, 6053445140625, 82556485632, 9, 4096, 1529437, 7316407296 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ......2.........3............4.............5...............6................7 .....16........81..........256...........625............1296.............2401 ....192......3645........28672........140625..........513216..........1529437 ...9216...1476225.....51380224.....791015625......7316407296......47738317081 .663552.996451875.161128382464.8009033203125.191221621088256.2767247026234327 LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA T(n,k) = (k+1) ^ (2n-(n modulo 2)) * ((k+1)*(2k+1)) ^ ((n*n-2n+(n modulo 2))/4) EXAMPLE Some solutions for n=3 k=3 ..2..0..1....1..0..1....0..0..3....0..2..1....1..2..3....0..1..2....2..2..0 ..3..1..0....0..1..0....2..1..0....2..3..2....2..3..0....1..3..2....1..0..2 ..0..3..3....1..0..1....1..2..3....3..2..3....2..0..2....2..2..2....1..1..3 CROSSREFS Row 2 is A000583(n+1) Sequence in context: A097655 A080749 A070973 * A054496 A351748 A190116 Adjacent sequences:  A209590 A209591 A209592 * A209594 A209595 A209596 KEYWORD nonn,tabl AUTHOR R. H. Hardin Mar 10 2012 STATUS approved

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Last modified May 16 21:29 EDT 2022. Contains 353720 sequences. (Running on oeis4.)