A084693 - OEIS

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

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A084693

a(n) is smallest positive integer not already in the sequence such that every partial sum is squarefree.

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

Michael De Vlieger, Table of n, a(n) for n = 0..1000

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: A258023 A190232 A377338 * A276765 A121644 A259623

Adjacent sequences: A084690 A084691 A084692 * A084694 A084695 A084696

KEYWORD

nonn

AUTHOR

Amarnath Murthy, Jun 04 2003

EXTENSIONS

More terms from David Wasserman, Dec 30 2004

STATUS

approved