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A083713 (8^n - 1)*3/7. 4
0, 3, 27, 219, 1755, 14043, 112347, 898779, 7190235, 57521883, 460175067, 3681400539, 29451204315, 235609634523, 1884877076187, 15079016609499, 120632132875995, 965057063007963, 7720456504063707, 61763652032509659 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

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(0)=0) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Aug 08 2010]

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.

a81)=8*0+3=3; a(2)=8*3+3=27; a(3)=8*27+3=219; a(4)=8*219+3=1755 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Aug 08 2010]

CROSSREFS

Cf. A067585, A023001.

Sequence in context: A198686 A087426 A145608 * A065100 A035088 A013708

Adjacent sequences:  A083710 A083711 A083712 * A083714 A083715 A083716

KEYWORD

nonn,easy

AUTHOR

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

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Last modified February 13 12:58 EST 2012. Contains 205482 sequences.