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 A244003 A(n,k) = k^Fibonacci(n); square array A(n,k), n>=0, k>=0, read by antidiagonals. 13
 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 3, 2, 1, 0, 1, 4, 3, 4, 1, 0, 1, 5, 4, 9, 8, 1, 0, 1, 6, 5, 16, 27, 32, 1, 0, 1, 7, 6, 25, 64, 243, 256, 1, 0, 1, 8, 7, 36, 125, 1024, 6561, 8192, 1, 0, 1, 9, 8, 49, 216, 3125, 65536, 1594323, 2097152, 1, 0 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,8 LINKS Alois P. Heinz, Antidiagonals n = 0..20, flattened FORMULA A(n,k) = k^A000045(n). A(0,k) = 1, A(1,k) = k, A(n,k) = A(n-1,k) * A(n-2,k) for n>=2. EXAMPLE Square array A(n,k) begins:   1, 1,   1,    1,     1,      1,       1, ...   0, 1,   2,    3,     4,      5,       6, ...   0, 1,   2,    3,     4,      5,       6, ...   0, 1,   4,    9,    16,     25,      36, ...   0, 1,   8,   27,    64,    125,     216, ...   0, 1,  32,  243,  1024,   3125,    7776, ...   0, 1, 256, 6561, 65536, 390625, 1679616, ... MAPLE A:= (n, k)-> k^(<<1|1>, <1|0>>^n)[1, 2]: seq(seq(A(n, d-n), n=0..d), d=0..12); MATHEMATICA A[0, 0] = 1; A[n_, k_] := k^Fibonacci[n]; Table[A[n-k, k], {n, 0, 12}, {k, n, 0, -1}] // Flatten (* Jean-François Alcover, Nov 11 2015 *) CROSSREFS Columns k=0-10 give: A000007, A000012, A000301, A010098, A010099, A214706, A215270, A214887, A215271, A215272, A010100. Rows n=0, 1+2, 3-8 give: A000012, A001477, A000290, A000578, A000584, A001016, A010801, A010809. Main diagonal gives: A152915. Cf. A000045, A103323. Sequence in context: A307432 A256140 A321391 * A332670 A118344 A343138 Adjacent sequences:  A244000 A244001 A244002 * A244004 A244005 A244006 KEYWORD nonn,tabl AUTHOR Alois P. Heinz, Jun 17 2014 STATUS approved

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Last modified April 11 16:42 EDT 2021. Contains 342888 sequences. (Running on oeis4.)