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A124829
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Table of exponents of prime factorizations in A055932.
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6
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1, 2, 1, 1, 3, 2, 1, 4, 1, 2, 3, 1, 1, 1, 1, 5, 2, 2, 4, 1, 1, 3, 2, 1, 1, 6, 3, 2, 1, 2, 1, 5, 1, 2, 3, 3, 1, 1, 7, 4, 2, 1, 1, 2, 1, 4, 2, 2, 1, 6, 1, 1, 1, 1, 1, 3, 3, 4, 1, 1, 8, 1, 3, 1, 5, 2, 2, 1, 2, 2, 4, 3, 2, 1, 7, 1, 2, 1, 1, 1, 4, 3, 1, 2, 2, 5, 1, 1, 1, 5, 9, 2, 3, 1, 6, 2, 3, 1, 2, 1, 2, 1, 1, 3, 4
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OFFSET
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1,2
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COMMENTS
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This is an enumeration of all compositions. This sequence contains all finite sequences of positive integers.
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LINKS
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FORMULA
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A055932(n) = Product_k Prime(k)^T(n,k).
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EXAMPLE
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Table begins:
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1 2 1;
2 4 2;
3 6 1, 1;
4 8 3;
5 12 2, 1;
6 16 4;
7 18 1, 2;
8 24 3, 1;
9 30 1, 1, 1;
10 32 5;
11 36 2, 2;
12 48 4, 1;
13 54 1, 3;
14 60 2, 1, 1;
15 64 6;
... (End)
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MATHEMATICA
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Map[FactorInteger[#][[All, -1]] &, Select[Range[10^3], Last[#] == Length[#] &@ PrimePi@ FactorInteger[#][[All, 1]] &]] // Flatten (* Michael De Vlieger, Feb 06 2020 *)
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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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