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 A322792 Irregular triangle read by rows where if d|n then T(n,d) = A002110(n/d)^d, where A002110(k) is the product of the first k primes. 7
 2, 6, 4, 30, 8, 210, 36, 16, 2310, 32, 30030, 900, 216, 64, 510510, 128, 9699690, 44100, 1296, 256, 223092870, 27000, 512, 6469693230, 5336100, 7776, 1024, 200560490130, 2048, 7420738134810, 901800900, 9261000, 810000, 46656, 4096, 304250263527210, 8192 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS A reordering of A100778 (powers of primorials), these are the Heinz numbers of uniform integer partitions of length n whose union is an initial interval of positive integers. An integer partition is uniform if all parts appear with the same multiplicity. The Heinz number of an integer partition (y_1, ..., y_k) is prime(y_1) * ... * prime(y_k). LINKS EXAMPLE Triangle begins:            2            6          4           30          8          210         36         16         2310         32        30030        900        216         64       510510        128      9699690      44100       1296        256    223092870      27000        512   6469693230    5336100       7776       1024 Corresponding triangle of integer partitions whose Heinz numbers belong to the triangle begins:   (1)   (21)        (11)   (321)       (111)   (4321)      (2211)      (1111)   (54321)     (11111)   (654321)    (332211)    (222111)    (111111)   (7654321)   (1111111)   (87654321)  (44332211)  (22221111)  (11111111)   (987654321) (333222111) (111111111) MATHEMATICA Table[Product[Prime[i]^d, {i, n/d}], {n, 12}, {d, Divisors[n]}] CROSSREFS First column is A002110. Cf. A000961, A001597, A002110, A007947, A025487, A047966, A055932, A056239, A072774, A100778, A304250, A322793. Sequence in context: A164020 A057643 A073039 * A253588 A228099 A227955 Adjacent sequences:  A322789 A322790 A322791 * A322793 A322794 A322795 KEYWORD nonn AUTHOR Gus Wiseman, Dec 26 2018 STATUS approved

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Last modified April 19 06:30 EDT 2019. Contains 322237 sequences. (Running on oeis4.)