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 A339489 T(n, k) = Product(divisors(k) union {k*j : j = 2..floor(n/k)}). Triangle read by rows. 3
 1, 2, 2, 6, 2, 3, 24, 8, 3, 8, 120, 8, 3, 8, 5, 720, 48, 18, 8, 5, 36, 5040, 48, 18, 8, 5, 36, 7, 40320, 384, 18, 64, 5, 36, 7, 64, 362880, 384, 162, 64, 5, 36, 7, 64, 27, 3628800, 3840, 162, 64, 50, 36, 7, 64, 27, 100, 39916800, 3840, 162, 64, 50, 36, 7, 64, 27, 100, 11 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS For the connection with paths in the divisor graph of {1,...,n} see the comment in A339492. LINKS EXAMPLE The triangle starts: [1]                            1; [2]                           2, 2; [3]                         6, 2, 3; [4]                       24, 8, 3, 8; [5]                     120, 8, 3, 8, 5; [6]                  720, 48, 18, 8, 5, 36; [7]                5040, 48, 18, 8, 5, 36, 7; [8]             40320, 384, 18, 64, 5, 36, 7, 64; [9]          362880, 384, 162, 64, 5, 36, 7, 64, 27; [10]      3628800, 3840, 162, 64, 50, 36, 7, 64, 27, 100; MAPLE t := (n, k) -> NumberTheory:-Divisors(k) union {seq(k*j, j=2..n/k)}: T := (n, k) -> mul(j, j = t(n, k)): for n from 1 to 10 do seq(T(n, k), k=1..n) od; CROSSREFS T(n, 1) = A000142(n), T(n, n) = A007955(n). Cf. A339491, A339492, A339496. Sequence in context: A281552 A205506 A110141 * A293443 A247765 A129750 Adjacent sequences:  A339486 A339487 A339488 * A339490 A339491 A339492 KEYWORD nonn,tabl AUTHOR Peter Luschny, Dec 31 2020 STATUS approved

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Last modified May 7 09:22 EDT 2021. Contains 343645 sequences. (Running on oeis4.)