The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A084693 a(n) is smallest positive integer not already in the sequence such that every partial sum is squarefree. 3
1, 2, 3, 4, 5, 6, 8, 9, 13, 7, 11, 10, 12, 14, 17, 15, 18, 19, 16, 20, 21, 22, 24, 25, 27, 26, 28, 23, 29, 30, 32, 33, 31, 34, 36, 38, 37, 35, 40, 41, 39, 42, 43, 45, 46, 44, 48, 49, 51, 50, 47, 52, 55, 53, 56, 57, 54, 58, 59, 60, 61, 63, 64, 65, 62, 66, 67, 68, 69, 70, 72, 73 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
Does every positive integer occur in the sequence?
The longest string of consecutive numbers is 6.
LINKS
MATHEMATICA
a = {1}; Do[k = 1; While[Nand[! MemberQ[a, k], SquareFreeQ[Sum[a[[i]], {i, n}] + k]], k++]; AppendTo[a, k], {n, 71}]; a (* Michael De Vlieger, Sep 03 2015 *)
CROSSREFS
Cf. A121644 (strictly increasing version).
Sequence in context: A295165 A258023 A190232 * A276765 A121644 A259623
KEYWORD
nonn
AUTHOR
Amarnath Murthy, Jun 04 2003
EXTENSIONS
More terms from David Wasserman, Dec 30 2004
STATUS
approved

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 May 22 19:48 EDT 2024. Contains 372758 sequences. (Running on oeis4.)