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Search: id:A066043
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| A066043 |
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a(1) = 1; for m > 0, a(2m) = 2m, a(2m+1) = 4m+2. |
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+0
2
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| 1, 2, 6, 4, 10, 6, 14, 8, 18, 10, 22, 12, 26, 14, 30, 16, 34, 18, 38, 20, 42, 22, 46, 24, 50, 26, 54, 28, 58, 30, 62, 32, 66, 34, 70, 36, 74, 38, 78, 40, 82, 42, 86, 44, 90, 46, 94, 48, 98, 50, 102, 52, 106, 54, 110, 56, 114, 58, 118, 60, 122, 62, 126, 64, 130, 66, 134, 68
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Length of period of sequences r(k,n)=floor(sinh(1)*k!)-n*floor(sinh(1)*k!/n) when n is fixed. - Benoit Cloitre (benoit7848c(AT)orange.fr), Jun 22 2003
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,1000
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FORMULA
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O.g.f.: (x+2x^2+4x^3-x^5)/(1-x^2)^2. - Len Smiley (smiley(AT)math.uaa.alaska.edu), Dec 05 2001
a(n)a(n+3) = -4 + a(n+1)a(n+2).
a(n)=A109043(n), n>1. a(n)=2*A026741(n), n>1. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Nov 08 2009]
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EXAMPLE
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r(k,7) is sequence 1, 2, 0, 0, 1, 6, 1, 1, 3, 2, 2, 3, 5, 0, 1, 2, 0, 0, 1, 6, 1, 1, 3, 2, 2, 3, 5, 0.... which is periodic with period (1, 2, 0, 0, 1, 6, 1, 1, 3, 2, 2, 3, 5, 0) of length 14 = a(7).
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PROGRAM
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(PARI) a(n)=if(n<2, 1, if(n%2, 2*n, n))
(PARI) { for (n=1, 1000, a=if (n>1 && n%2, 2*n, n); write("b066043.txt", n, " ", a) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Nov 08 2009]
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CROSSREFS
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Sequence in context: A088438 A097265 A074208 this_sequence A145019 A066678 A113571
Adjacent sequences: A066040 A066041 A066042 this_sequence A066044 A066045 A066046
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KEYWORD
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easy,nonn,new
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AUTHOR
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George E. Antoniou (george.antoniou(AT)montclair.edu), Nov 30 2001
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EXTENSIONS
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More terms from Sascha Kurz (sascha.kurz(AT)uni-bayreuth.de), Mar 24 2002
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