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A087443
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Least integer of each prime signature ordered first by sum of exponents and then by least integer value.
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12
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1, 2, 4, 6, 8, 12, 30, 16, 24, 36, 60, 210, 32, 48, 72, 120, 180, 420, 2310, 64, 96, 144, 216, 240, 360, 840, 900, 1260, 4620, 30030, 128, 192, 288, 432, 480, 720, 1080, 1680, 1800, 2520, 6300, 9240, 13860, 60060, 510510, 256, 384, 576, 864, 960, 1296, 1440
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OFFSET
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0,2
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COMMENTS
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LINKS
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EXAMPLE
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1;
2;
4,6;
8,12,30;
16,24,36,60,210;
32,48,72,120,180,420,2310;
64,96,144,216,240,360,840,900,1260,4620,30030;
128,192,288,432,480,720,1080,1680,1800,2520,6300,9240,13860,60060,510510;
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MAPLE
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b:= proc(n, i, l)
`if`(n=0, [mul(ithprime(t)^l[t], t=1..nops(l))],
`if`(i=1, b(0, 0, [l[], 1$n]), [b(n, i-1, l)[],
`if`(i>n, [], b(n-i, i, [l[], i]))[]]))
end:
T:= n-> sort(b(n$2, []))[]:
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MATHEMATICA
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b[n_, i_, l_] := b[n, i, l] = If[n == 0, Join[{Product[Prime[t]^l[[t]], {t, 1, Length[l]}]}], If[i == 1, b[0, 0, Join[l, Table[1, {n}]]], Join[b[n, i - 1, l], If[i > n, {}, b[n - i, i, Append[l, i]]]]]];
T[n_] := Sort[b[n, n, {}]];
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CROSSREFS
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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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