A169682 Golomb-type sequence over primes.

2, 2, 3, 3, 5, 5, 5, 7, 7, 7, 11, 11, 11, 11, 11, 13, 13, 13, 13, 13, 17, 17, 17, 17, 17, 19, 19, 19, 19, 19, 19, 19, 23, 23, 23, 23, 23, 23, 23, 29, 29, 29, 29, 29, 29, 29, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37

Offset: 1

Author

N. J. A. Sloane, following a posting to the Sequence Fans mailing list by Eric Angelini, Apr 13 2010

Keywords

• nonn

Comments

Suggested by Golomb's sequence A001462.

Terms are primes in nondecreasing order; a(n) gives length of n-th run.

It is understood that a(n) is taken to be the smallest number >= a(n-1) which is compatible with the description.

Links

• Ivan Neretin, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A001462.

Programs

Mathematica

a = {2, 2}; Do[a = Join[a, Array[Prime[i]&, a[[i]]]], {i, 2, 12}]; a (* Ivan Neretin, Apr 03 2015 *)