A211132 One of 17 possible sets of eleven numbers of the form 3^alpha 5^beta 7^gamma whose sum of reciprocals is 1.

3, 5, 7, 9, 15, 21, 27, 35, 45, 135, 315

Offset

1,1

Links

Table of n, a(n) for n=1..11.

Nechemia Burshtein, All the solutions of the equation Sum_{i=1..11} 1/x_i = 1 in distinct integers of the form x_i = 3^alpha 5^beta 7^gamma, Disc. Math. (2008) Vol. 308, No. 18, 4286-4292. MR2427761 (2009e:11061)

Crossrefs

The 17 solutions are given in A201643, A211118-A211132, A211134.

Cf. A201644, A201646, A201647, A201648, A201649.

Sequence in context: A289873 A018736 A211134 * A211131 A201643 A018388

Adjacent sequences: A211129 A211130 A211131 * A211133 A211134 A211135

Keyword

nonn,fini,full

Author

N. J. A. Sloane, Apr 02 2012

Status

approved