A238216 Starting with a(1) = 3, a(2) = 5, a(n+1) is the smallest prime number greater than the previous term a(n) such that there exists k satisfying 1<=k<n, a(n+1) = 2*a(n) + a(k).

3, 5, 13, 29, 61, 127, 257, 641, 1409, 2879

Offset

1,1

Comments

This sequence is finite.

Links

Table of n, a(n) for n=1..10.

Example

a(1) = 3, a(2) = 5, a(3) = 2*5 + 3 = 13, a(4) = 2*13 + 3 = 29, a(5) = 2*29 + 3 = 61, ...

Crossrefs

Cf. A000040, A238137.

Sequence in context: A282565 A295617 A290113 * A067932 A339155 A168314

Adjacent sequences: A238213 A238214 A238215 * A238217 A238218 A238219

Keyword

nonn,fini,full

Author

Philippe Deléham, Feb 20 2014

Status

approved