A211134 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, 105, 945

Offset

1,1

Links

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

R. Arce-Nazario, F. Castro, and R. Figueroa, On the number of solutions of Sum_{i = 1..11} 1/x_i = 1 in distinct odd natural numbers, J. Number Theory, 133 (2013), pp. 2036-2046.

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. Discrete Math. 308 (2008), no. 18, 4286--4292. MR2427761 (2009e:11061)

Crossrefs

The 17 solutions are given in A211118-A211134. Cf. A201643, A201644, A201646, A201647, A201648, A201649.

Sequence in context: A290514 A289873 A018736 * A211132 A211131 A201643

Adjacent sequences: A211131 A211132 A211133 * A211135 A211136 A211137

Keyword

nonn,fini,full

Author

N. J. A. Sloane, Apr 02 2012

Status

approved