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Search: id:A144253
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| A144253 |
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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
2
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| 1, 3, 6, 5, 256, 2, 18, 5, 256, 27, 30, 2, 12288, 6, 12, 59049, 729, 5, 524288, 3, 15552, 56, 18, 5, 2048, 729, 12, 387420489, 3645, 2, 0, 3, 7776, 16, 1, 18, 200, 2, 18, 12, 9, 3, 90, 2, 32, 3645, 16, 1, 750, 25, 8, 18, 324, 1, 5103
(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 are 1. That is the list 0, 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, 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*8^6,..
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EXAMPLE
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2*8^6=2560=a(19).
3=a(20).
6^5*2=93312=a(21).
8*7=56=a(22).
3*6=18=a(23).
5=a(24),
2^8*8=2048=a(25),
etc.
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CROSSREFS
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Cf. A000040, A141569.
Sequence in context: A115389 A121867 A009193 this_sequence A138743 A152422 A152139
Adjacent sequences: A144250 A144251 A144252 this_sequence A144254 A144255 A144256
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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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