login

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”).

A175117
Numbers k such that Sum_(i=1..k) prime(i)*(-1)^(i+1) is a square.
1
3, 9, 55, 181, 215, 459, 1361, 1417, 1623, 2047, 2445, 4685, 6687, 7353, 7785, 7925, 8489, 10333, 10515, 11179, 14087, 15227, 15829
OFFSET
1,1
COMMENTS
Numbers k such that (-1)^k*A008347(k) is a perfect square. - R. J. Mathar, Feb 21 2010
LINKS
EXAMPLE
2 - 3 + 5 = 4, thus a(1)=3;
2 - 3 + 5 - 7 + 11 - 13 + 17 - 19 + 23 = 16, thus a(2)=9.
MATHEMATICA
Flatten[Position[Accumulate[Times@@@Partition[Riffle[Prime[Range[ 20000]], {1, -1}, {2, -1, 2}], 2]], _?(IntegerQ[Sqrt[#]]&)]] (* Harvey P. Dale, Mar 19 2013 *)
CROSSREFS
Cf. A000040.
Sequence in context: A032179 A377340 A233189 * A245117 A183303 A075979
KEYWORD
easy,nonn
AUTHOR
Ctibor O. Zizka, Feb 14 2010
EXTENSIONS
Six more terms from R. J. Mathar, Feb 21 2010
STATUS
approved