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Search: id:A079354
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| A079354 |
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a(1)=1; a(n)=a(n-1)-1 if n is already in the sequence, a(n)=a(n-1)+3 otherwise. |
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+0
4
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| 1, 4, 7, 6, 9, 8, 7, 6, 5, 8, 11, 14, 17, 16, 19, 18, 17, 16, 15, 18, 21, 24, 27, 26, 29, 28, 27, 26, 25, 28, 31, 34, 37, 36, 39, 38, 37, 36, 35, 38, 41, 44, 47, 46, 49, 48, 47, 46, 45, 48, 51, 54, 57, 56, 59, 58, 57, 56, 55, 58, 61, 64, 67, 66, 69, 68, 67, 66, 65, 68, 71, 74, 77
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Starting with a(1)=0 and same definition, a(n)=n+(-1)^n (cf. A004442)
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FORMULA
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a(n)-n is periodic with period (0, 2, 4, 2, 4, 2, 0, -2, -4, -2) of length 10.
a(10t+i) = 10t+c_i, 1<=i<=10, c_i=(1, 4, 7, 6, 9, 8, 7, 6, 5, 8). a(n) = n iff n == 1 or 7 (mod 10).
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CROSSREFS
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Adjacent sequences: A079351 A079352 A079353 this_sequence A079355 A079356 A079357
Sequence in context: A081845 A140877 A069286 this_sequence A122460 A063845 A019714
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KEYWORD
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nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr) and njas, Feb 14 2003
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