login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A346606 The fourth of four solutions to a Monthly problem asking if there exist finite sequences 1 < a(1) < a(2) < ... < a(n) such that Sum_i 1/a(i) = 1 and gcd(a(i), a(i+1)) = 1 for 1 <= i < n. 3

%I #13 Aug 06 2021 18:03:40

%S 2,3,14,33,35,88,115,273,296,403,609,943,1062,1073,1206,1519,2419,3283

%N The fourth of four solutions to a Monthly problem asking if there exist finite sequences 1 < a(1) < a(2) < ... < a(n) such that Sum_i 1/a(i) = 1 and gcd(a(i), a(i+1)) = 1 for 1 <= i < n.

%H Daniel Ullman, Proposer, <a href="https://www.jstor.org/stable/2323959">Problem E3359</a>, Amer. Math. Monthly, 98:2 (1991), 168.

%H <a href="/index/Ed#Egypt">Index entries for sequences related to Egyptian fractions</a>

%Y Cf. A346603, A346604, A346605.

%K nonn,fini,full

%O 1,1

%A _N. J. A. Sloane_, Aug 06 2021

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 29 16:41 EDT 2024. Contains 375517 sequences. (Running on oeis4.)