A202561 Length of non-periodic part of the sequence defined by the recursion in A202211 and starting with a(1)=prime(n), a(2)=prime(n+1).

60, 5, 2, 33, 31, 6, 124, 10, 97, 127, 41, 90, 12, 18, 11, 28, 12, 70, 93, 36, 38, 72, 52, 83, 60, 38, 14, 16, 5, 59, 21, 82, 16, 29, 30, 8, 28, 44, 14, 32, 56, 7, 9, 130, 43, 30, 7, 119, 96, 87, 66, 21, 5, 15, 34, 34, 58, 101, 84, 47, 41, 131, 7, 75, 44, 20

Offset

1,1

Comments

Among the first 10000 terms, the least term is a(3)=2, the largest terms are a(8109)=a(9716)=169.

Next records are a(16357)=178, a(27716)=181, a(62716)=191, a(84339)=196, a(358303)=197, a(470452)=214.

Is the sequence unbounded?

Links

Zak Seidov, Table of n, a(n) for n = 1..10000

Example

a(1)=60, see A202211;
a(2)=5 because sequence is {3, 5, 17, 45, 45, 21, 25, 25, 21, 25, 25, 21, 25, 25, 21,..}, non-periodic part is npp={3, 5, 17, 45, 45} with #nnp=5, after which there is a periodic part pp={21, 25, 25} with #pp=3.

Crossrefs

Cf. A202211.

Sequence in context: A174675 A016532 A075080 * A341293 A133000 A033380

Adjacent sequences: A202558 A202559 A202560 * A202562 A202563 A202564

Keyword

nonn

Author

Zak Seidov and Vladimir Shevelev, Dec 21 2011

Status

approved