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Search: id:A144227
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| A144227 |
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Bases and exponents in the prime decomposition of n replaced by digits of the Gregorian calendar with these indices. |
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+0
1
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| 1, 3, 6, 25, 8, 6, 6, 25, 512, 18, 5, 1024, 3, 36, 18, 125, 6, 1280, 6, 3645, 16, 21, 6, 200, 512, 36, 512, 4374, 5, 16, 0, 18, 14, 8, 3, 1990656, 1, 6, 36, 18, 1, 54, 5, 256, 384, 10, 8, 3, 7776, 16, 18, 93312, 9, 147, 30, 256, 24, 6, 200, 9, 18, 200, 1, 18, 108
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Start from the prime decomposition of n, not writing down
exponents which equal 1. That is the list 1, 2, 3, 2^2, 5, 2*3, 7, 2^3,
3^2, 2*5, 11, 2^3*3, 13, 2*7, 3*5, 2^4, 17, 2*3^2,.. Replace each number
i in this representation by the i-th digit in the Gregorian calendar
1(365(28-feb)), 2(365(28-feb)), 3(365(28-feb)), 4(366(29-feb)),
5(365(28-feb)),.. This generates the sequence of a(n), namely 1, 3, 6,
5^2, 8, 2*3, 6, 5^2, 8^3, 3*6, 5, 2^8*4, 3, 6*6, 2*9, 5^3, 6, 5*2^8,..
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EXAMPLE
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5*2^9=2560=a(18).
6=a(19).
3^6*5=3645=a(20).
2*8=16=a(21).
7*3=21=a(22).
6=a(23),
5^2*8=200=a(24),
etc.
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CROSSREFS
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Cf. A000040, A141569.
Sequence in context: A018964 A018994 A117850 this_sequence A148657 A148658 A148659
Adjacent sequences: A144224 A144225 A144226 this_sequence A144228 A144229 A144230
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KEYWORD
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nonn
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AUTHOR
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Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Nov 25 2008
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