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Search: id:A083713
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A083713 (8^n - 1)*3/7. +0
5
0, 3, 27, 219, 1755, 14043, 112347, 898779, 7190235, 57521883, 460175067, 3681400539, 29451204315, 235609634523, 1884877076187, 15079016609499, 120632132875995, 965057063007963, 7720456504063707, 61763652032509659 (list; graph; listen)
OFFSET

0,2

COMMENT

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)

FORMULA

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]

EXAMPLE

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]

CROSSREFS

Cf. A067585, A023001.

Sequence in context: A043023 A087426 A145608 this_sequence A065100 A035088 A013708

Adjacent sequences: A083710 A083711 A083712 this_sequence A083714 A083715 A083716

KEYWORD

nonn,easy,new

AUTHOR

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jun 14 2003

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Last modified March 18 09:28 EDT 2010. Contains 173524 sequences.


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