A334219 a(n) is the number of terms beyond the starting value n before a repeated number first appears when following the same rules as Recamán's sequence A005132 but starting at n instead of 0.

24, 13, 21, 3, 3, 3, 15, 6, 6, 6, 15, 12, 9, 9, 9, 16, 20, 15, 12, 12, 12, 8, 10, 12, 20, 15, 15, 15, 10, 15, 24, 22, 26, 18, 18, 18, 11, 13, 18, 29, 28, 27, 21, 21, 21, 15, 13, 19, 17, 25, 31, 23, 24, 24, 24, 16, 18, 20, 21, 44, 28, 34, 34, 27, 27, 27, 17, 19, 27, 25, 24

Offset: 0

Author

Scott R. Shannon, Apr 19 2020

Keywords

• nonn

Comments

The first repeated number in each sequence starting from n is given in A334148.

The number of terms in each sequence starting from n required to reach a value greater than n given in A334149.

Essentially the same as A308419. - R. J. Mathar, May 06 2020

Examples

			a(0) = 24 as a(0) corresponds to the standard Recamán's sequence A005132 in which the term 42 appears at A005132(20) and then again at A005132(24), taking twenty-four terms before the first repeated number appears.
a(4) = 3 as starting from 4 the sequence of visited numbers is 4,3,1,4 and it takes three steps beyond the start value for the first repeated number 4 to appear.
a(6) = 15 as starting from 6 the sequence of visited numbers is 6,5,3,0,4,9,15,8,16,7,17,28,40,27,13,28 and it takes fifteen steps beyond the start value for the first repeated number 28 to appear.
		

Links

• Scott R. Shannon, Table of n, a(n) for n = 0..10000
• Scott R. Shannon, Plot of the terms for n = 0 to 1000000
• Index entries for sequences related to Recamán's sequence

Crossrefs

Cf. A005132, A308419, A334148, A334149, A334225.