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A334219
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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.
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5
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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
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OFFSET
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0,1
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COMMENTS
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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
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LINKS
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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
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EXAMPLE
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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.
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CROSSREFS
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Cf. A005132, A308419, A334148, A334149, A334225.
Sequence in context: A119872 A002550 A075605 * A118661 A132420 A171907
Adjacent sequences: A334216 A334217 A334218 * A334220 A334221 A334222
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KEYWORD
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nonn
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AUTHOR
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Scott R. Shannon, Apr 19 2020
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STATUS
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approved
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