This site is supported by donations to The OEIS Foundation.



Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A059390 Numbers that are not the sum of two nonzero Fibonacci numbers. 3


%S 1,12,17,19,20,25,27,28,30,31,32,33,38,40,41,43,44,45,46,48,49,50,51,

%T 52,53,54,59,61,62,64,65,66,67,69,70,71,72,73,74,75,77,78,79,80,81,82,

%U 83,84,85,86,87,88,93,95,96,98,99,100,101,103,104,105,106,107,108,109

%N Numbers that are not the sum of two nonzero Fibonacci numbers.

%C Except for the initial 1, each term can be expressed as the sum of a Fibonacci number and a non-Fibonacci number (A001690) and is thus the sum of three or more Fibonacci numbers. - _Alonso del Arte_, Jun 18 2013

%C That is, aside from the first term, numbers n such that A007895(n) > 2. - _Charles R Greathouse IV_, Jun 18 2013

%H Charles R Greathouse IV, <a href="/A059390/b059390.txt">Table of n, a(n) for n = 1..10000</a>

%t Complement[ Range[ Fibonacci[ 12 ]], Union[ Flatten[ Table[ Fibonacci[i] + Fibonacci[j], {i, 12}, {j, i - 1}]]]] (* _Robert G. Wilson v_, Jul 22 2005 *)

%o (PARI) is(n)=if(n<9,return(n==1)); my(k);while(fibonacci(k++)<=n,); n-=fibonacci(k-1); k=n^2; k+=(k+1)<<2; !issquare(k) && !issquare(k-8) \\ _Charles R Greathouse IV_, Jun 18 2013

%Y Complement of A059389.

%K nonn,easy

%O 1,2

%A Avi Peretz (njk(AT)netvision.net.il), Jan 29 2001

%E More terms from Larry Reeves (larryr(AT)acm.org), Jan 31 2001

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified December 9 02:36 EST 2016. Contains 278959 sequences.