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A324939
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Triangle T(n,k) read by rows in which n-th row lists in increasing order all compositions [c_1, c_2, ..., c_q] of n encoded as Product_{i=1..q} prime(i)^(c_i); n>=0, 1<=k<=A011782(n).
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6
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1, 2, 4, 6, 8, 12, 18, 30, 16, 24, 36, 54, 60, 90, 150, 210, 32, 48, 72, 108, 120, 162, 180, 270, 300, 420, 450, 630, 750, 1050, 1470, 2310, 64, 96, 144, 216, 240, 324, 360, 486, 540, 600, 810, 840, 900, 1260, 1350, 1500, 1890, 2100, 2250, 2940, 3150, 3750, 4410, 4620, 5250, 6930, 7350, 10290, 11550, 16170, 25410, 30030
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OFFSET
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0,2
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COMMENTS
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All terms first sorted by number of factors give A057335.
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LINKS
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EXAMPLE
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Triangle T(n,k) begins:
1;
2;
4, 6;
8, 12, 18, 30;
16, 24, 36, 54, 60, 90, 150, 210;
32, 48, 72, 108, 120, 162, 180, 270, 300, 420, 450, 630, 750, 1050, 1470, 2310;
...
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MAPLE
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b:= n-> `if`(n=0, [[]], [seq(map(x-> [j, x[]], b(n-j))[], j=1..n)]):
T:= n-> sort(map(x-> mul(ithprime(i)^x[i], i=1..nops(x)), b(n)))[]:
seq(T(n), n=0..7);
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CROSSREFS
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Last elements of rows give A002110.
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KEYWORD
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nonn,tabf
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AUTHOR
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STATUS
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approved
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