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 A272327 Table read by antidiagonals: T(n, k) is the least i > n such that n divides i^k (n > 0, k > 0). 1
 2, 4, 2, 6, 4, 2, 8, 6, 4, 2, 10, 6, 6, 4, 2, 12, 10, 6, 6, 4, 2, 14, 12, 10, 6, 6, 4, 2, 16, 14, 12, 10, 6, 6, 4, 2, 18, 12, 14, 12, 10, 6, 6, 4, 2, 20, 12, 10, 14, 12, 10, 6, 6, 4, 2, 22, 20, 12, 10, 14, 12, 10, 6, 6, 4, 2, 24, 22, 20, 12, 10, 14, 12, 10, 6 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS T(n, k) = 2*n for squarefree n. LINKS Peter Kagey, Rows n = 1..141, flattened EXAMPLE a(1) = T(1, 1) = 2 because 1 divides 2^1 a(2) = T(2, 1) = 4 because 2 divides 4^1 a(3) = T(1, 2) = 2 because 1 divides 2^2 a(4) = T(3, 1) = 6 because 3 divides 6^1 a(5) = T(2, 2) = 4 because 2 divides 4^2 a(6) = T(1, 3) = 2 because 1 divides 2^3 a(7) = T(4, 1) = 8 because 4 divides 8^1 a(8) = T(3, 2) = 6 because 3 divides 6^2 a(9) = T(2, 3) = 4 because 2 divides 4^3 a(10) = T(1, 4) = 2 because 1 divides 2^4 Triangle begins: 2 2 2 2 2 2 4 4 4 4 4 6 6 6 6 8 6 6 10 10 12 MATHEMATICA Table[Function[m, SelectFirst[Range[m + 1, 10^3], Divisible[#^k, m] &]][n - k + 1], {n, 12}, {k, n}] // Flatten (* Michael De Vlieger, Apr 25 2016, Version 10 *) CROSSREFS Cf. A254732 (second column), A254733 (third column), A254734 (fourth column), A073353 (main diagonal). Sequence in context: A328196 A323307 A215841 * A212012 A322071 A176342 Adjacent sequences: A272324 A272325 A272326 * A272328 A272329 A272330 KEYWORD nonn,tabl AUTHOR Peter Kagey, Apr 25 2016 STATUS approved

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Last modified April 14 18:28 EDT 2024. Contains 371667 sequences. (Running on oeis4.)