A175211 The finite sequence with the largest possible number of terms such that a(1) = a(2) = 1, for n >= 3, a(n) = prime p such that p = Sum_{i=1...k} a(n-i) for any k.

1, 1, 2, 3, 7, 13, 23, 43, 89, 181, 349, 619, 1327, 2657, 4603

Offset

1,3

Comments

There are like shorter finite sequences with different terms: (1,1,2,3,5,11,19,41,71,131,281), (1,1,2,3,5,11,19,41,71,131,283), (1,1,2,3,5,11,19,41,79,139), (1,1,2,3,5,11,19,41,83), (1,1,2,3,5,11,23), (1,1,2,3,7,13,23,43,79), (1,1,2,3,7,13,23,43,89,181,313), (1,1,2,3,7,13,23,43,89,181,359).

Links

Table of n, a(n) for n=1..15.

Example

For n=15: a(15)=4603=a(14)+a(13)+a(12)=2657+1327+619, 4603=prime.

Crossrefs

Sequence in context: A271827 A298339 A091440 * A330028 A075058 A213968

Adjacent sequences: A175208 A175209 A175210 * A175212 A175213 A175214

Keyword

nonn

Author

Jaroslav Krizek, Mar 05 2010

Status

approved