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 A240694 Partial products of divisors of n, cf. A027750. 9
 1, 1, 2, 1, 3, 1, 2, 8, 1, 5, 1, 2, 6, 36, 1, 7, 1, 2, 8, 64, 1, 3, 27, 1, 2, 10, 100, 1, 11, 1, 2, 6, 24, 144, 1728, 1, 13, 1, 2, 14, 196, 1, 3, 15, 225, 1, 2, 8, 64, 1024, 1, 17, 1, 2, 6, 36, 324, 5832, 1, 19, 1, 2, 8, 40, 400, 8000, 1, 3, 21, 441, 1, 2 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS T(n,1) = 1; T(n,2) = A020639(n), n > 1; T(n,A000005(n)) = A007955(n); T(n,A000005(n)-1) = A007956(n), n > 1. Triangle read by rows in which row n lists the partial products of divisors of n. - Omar E. Pol, Apr 12 2014 LINKS Reinhard Zumkeller, Rows n = 1..1000 of table, flattened FORMULA T(n,1) = 1, T(n,k) = T(n,k-1) * A027750(n,k), 1 < k <= n. EXAMPLE .    n |  n-th row of A240694     |  n-th row of A027750 .  ----+--------------------------+--------------------- .    1 |  1                       |  1 .    2 |  1, 2                    |  1, 2 .    3 |  1, 3                    |  1, 3 .    4 |  1, 2, 8                 |  1, 2, 4 .    5 |  1, 5                    |  1, 5 .    6 |  1, 2, 6, 36             |  1, 2, 3, 6 .    7 |  1, 7                    |  1, 7 .    8 |  1, 2, 8, 64             |  1, 2, 4, 8 .    9 |  1, 3, 27                |  1, 3, 9 .   10 |  1, 2, 10, 100           |  1, 2, 5, 10 .   11 |  1, 11                   |  1, 11 .   12 |  1, 2, 6, 24, 144, 1728  |  1, 2, 3, 4, 6, 12 .   13 |  1, 13                   |  1, 13 . MATHEMATICA Table[FoldList[Times, Divisors[n]], {n, 30}]//Flatten (* Harvey P. Dale, Jul 29 2021 *) PROG (Haskell) a240694 n k = a240694_tabf !! (n-1) !! (k-1) a240694_row n = a240694_tabf !! (n-1) a240694_tabf = map (scanl1 (*)) a027750_tabf CROSSREFS Cf. A000005 (row lengths), A240698. Sequence in context: A176572 A168017 A293980 * A258643 A287561 A046924 Adjacent sequences:  A240691 A240692 A240693 * A240695 A240696 A240697 KEYWORD nonn,tabf,changed AUTHOR Reinhard Zumkeller, Apr 10 2014 STATUS approved

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Last modified August 3 01:07 EDT 2021. Contains 346429 sequences. (Running on oeis4.)