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Search: id:A111467
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| A111467 |
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Following triangle contains n smallest numbers with the prime signature of n!. Sequence contains the triangle by rows. |
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+0
3
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| 1, 2, 3, 6, 10, 14, 24, 40, 54, 56, 120, 168, 264, 270, 280, 720, 1008, 1200, 1584, 1620, 1872, 5040, 7920, 8400, 9360, 11088, 11340, 11760, 40320, 63360, 67200, 74880, 88704, 94080, 97920, 104832, 362880, 570240, 673920, 798336, 881280, 943488, 984960, 1192320, 1224720
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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1
2 3
6 10 14
24 40 54 56
...
n! is the smallest number with that prime signature.
Usually the prime signature of 1 is [1], so it equals the prime signature of 2, which also is [1]. So strictly speaking, the 2nd row would contain the numbers 1 and 2 (not 2 and 3) if the restriction of "n! is the smallest number" were not be made as in the author's comment. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 08 2007
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EXAMPLE
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4! = 24 = 2^3*3, 40 = 2^3*5, 54=3^3*2, 56=2^3*7
Hence the row corresponding n = 4 is 24,40,54,56.
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CROSSREFS
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Cf. A111468, A111469.
Sequence in context: A023547 A084396 A090035 this_sequence A102366 A074134 A056178
Adjacent sequences: A111464 A111465 A111466 this_sequence A111468 A111469 A111470
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 05 2005
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 08 2007
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