STATUS
editing
approved
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Revision History for A107684
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LINKS
<a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (-1,-1,2,2,2).
STATUS
approved
editing
STATUS
editing
approved
MATHEMATICA
Flatten[{#-1, #, #+1}&/@(2^Range[0, 20])]//Union (* Harvey P. Dale, Oct 06 2017 *)
STATUS
approved
editing
FORMULA
a(n) = if n<=2 then n else 2^(floor(n/3)+1) + n mod 3 - 1. - _Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), _, Jun 05 2005
AUTHOR
_Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), _, May 20 2005
FORMULA
G.f.:-x*(1+3*x+6*x^2+7*x^3+6*x^4+4*x^5+2*x^6)/((2*x^3-1)*(x^2+x+1)) [From Maksym Voznyy (voznyy(AT)mail.ru), Aug 12 2009]
KEYWORD
nonn,new
nonn
FORMULA
a(n) = if n<=2 then n else 2^(floor(n/3)+1) + n mod 3 - 1. - Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystemsgmail.com), Jun 05 2005
KEYWORD
nonn,new
nonn
AUTHOR
Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystemsgmail.com), May 20 2005
NAME
Union of sequences 2^k-1, 2^k and 2^k+1.
DATA
0, 1, 2, 3, 4, 5, 7, 8, 9, 15, 16, 17, 31, 32, 33, 63, 64, 65, 127, 128, 129, 255, 256, 257, 511, 512, 513, 1023, 1024, 1025, 2047, 2048, 2049, 4095, 4096, 4097, 8191, 8192, 8193, 16383, 16384, 16385, 32767, 32768, 32769, 65535, 65536, 65537, 131071
OFFSET
0,3
COMMENTS
Subsequence of A107686.
FORMULA
a(n) = if n<=2 then n else 2^(floor(n/3)+1) + n mod 3 - 1. - Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Jun 05 2005
KEYWORD
nonn
AUTHOR
Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), May 20 2005
EXTENSIONS
Description corrected by Henrik Lundquist, Jun 06 2005
STATUS
approved