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Search: id:A083713
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| 0, 3, 27, 219, 1755, 14043, 112347, 898779, 7190235, 57521883, 460175067, 3681400539, 29451204315, 235609634523, 1884877076187, 15079016609499, 120632132875995, 965057063007963, 7720456504063707, 61763652032509659
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Fixed points of the mapping defined by A067585. In binary these numbers show a regular pattern: 0, 11, 11011, 11011011, 11011011011 etc.
Contribution from Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 22 2010: (Start)
a(n)=A173593(6*n-5) for n>0:
terms of A173593 beginning and ending with digits '11' in binary representation;
for n>0: a(n)=A033129(3*n-1); a(n)-a(n-1)=A103333(n). (End)
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FORMULA
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a(n) = 3*A023001(n).
Recursion: a(0) = 0, a(n+1) = (((a(n)*2)*2+1)*2+1).
a(n)=8*a(n-1)+3 (with a(1)=0) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 31 2009]
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EXAMPLE
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Octal............decimal (comment from Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 14 2007):
0....................0
3....................3
33..................27
333................219
3333..............1755
33333............14043
333333..........112347
3333333.........898779
33333333.......7190235
333333333.....57521883
3333333333...460175067
etc. ...............etc.
For n=2, a(2)=8*0+3=3; n=3, a(3)=8*3+3=27; n=4, a(4)=8*27+3=219 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 31 2009]
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CROSSREFS
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Cf. A067585, A023001.
Sequence in context: A043023 A087426 A145608 this_sequence A065100 A035088 A013708
Adjacent sequences: A083710 A083711 A083712 this_sequence A083714 A083715 A083716
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KEYWORD
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nonn,easy,new
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AUTHOR
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Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jun 14 2003
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