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Search: id:A085643
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| A085643 |
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Refines sequence A078812 using permutations and products of exponents on least prime signatures. |
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+0
3
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| 1, 2, 1, 3, 4, 1, 4, 6, 4, 6, 1, 5, 8, 12, 9, 12, 8, 1, 6, 10, 16, 9, 12, 36, 8, 12, 24, 10, 1, 7, 12, 20, 24, 15, 48, 36, 27, 16, 72, 32, 15, 40, 12, 1, 8, 14, 24, 30, 16, 18, 60, 48, 72, 54, 20, 96, 144, 54, 16, 20, 120, 80, 18, 60, 14, 1
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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The shape sequence for this table is A000041. Row sums in the example are A000079, A006906 and A001906.
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EXAMPLE
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When the signatures (A025487) are listed in A036035 order the number of permutations of the exponents begin
1, 1 1, 1 2 1, 1 2 1 3 1, 1 2 2 3 3 4 1, ... b(n) and the products begin
1, 2 1, 3 2 1, 4 3 4 2 1, 5 4 6 3 4 2 1, ... c(n) thus we can write
1, 2 1, 3 4 1, 4 6 4 6 1, 5 8 12 9 12 8 1, ... a(n) = b(n)*c(n)
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CROSSREFS
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Cf. A078812.
Sequence in context: A135086 A059026 A104471 this_sequence A132110 A039912 A163311
Adjacent sequences: A085640 A085641 A085642 this_sequence A085644 A085645 A085646
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KEYWORD
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nonn,tabf
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AUTHOR
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Alford Arnold (Alford1940(AT)aol.com), Aug 15 2003
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