The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A334149 a(n) is the number of terms required beyond the starting value n before a value larger than n first appears when following the same rules as Recamán's sequence A005132 but starting at n instead of 0. 4
 1, 2, 2, 4, 5, 5, 5, 7, 9, 10, 6, 8, 10, 12, 14, 8, 9, 11, 13, 15, 17, 9, 11, 13, 14, 16, 18, 20, 20, 12, 14, 16, 17, 19, 21, 23, 23, 14, 15, 17, 19, 21, 22, 24, 26, 26, 30, 34, 18, 20, 22, 24, 26, 28, 29, 29, 33, 37, 37, 21, 23, 25, 27, 29, 31, 33, 33, 36, 19, 40, 44, 27, 26, 28 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS For 100 <= n <= 100000 the largest number of terms to surpass the starting value n is for n = 97646 which takes 26867 terms to surpass 97646, see the link image. The longest in terms of ratio of terms required compared to starting value is for n = 133 which takes 80 terms, see the link image. The shortest ratio is for n = 82148 which only takes 8587, see the link image. 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 the first repeated number is given in A334219. LINKS Scott R. Shannon, Table of n, a(n) for n = 0..10000 Scott R. Shannon, Line plot of the corresponding Recamán type sequence starting with n = 97646. Scott R. Shannon, Line plot of the corresponding Recamán type sequence starting with n = 133. Scott R. Shannon, Line plot of the corresponding Recamán type sequence starting with n = 82148. Scott R. Shannon, Plot of this sequence's terms for n = 0 to 100000. EXAMPLE a(0) = 1 as a(0) corresponds to the standard Recamán's sequence A005132 in which the first term is 0 and it only takes one more term to reach 1 and surpass the start value. a(4) = 5 as starting from 4 the sequence of visited numbers is 4,3,1,4,0,5 and it takes five more terms to reach 5 and surpass the start value 4. a(12) = 10 as starting from 12 the sequence of visited numbers is 12,11,9,6,2,7,1,8,0,9,19 and it takes ten more terms to reach 19 and surpass the start value 12. CROSSREFS Cf. A005132, A334148, A334219, A334225. Sequence in context: A225840 A319409 A122543 * A118003 A159296 A277191 Adjacent sequences:  A334146 A334147 A334148 * A334150 A334151 A334152 KEYWORD nonn AUTHOR Scott R. Shannon, Apr 16 2020 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified September 23 20:42 EDT 2021. Contains 347617 sequences. (Running on oeis4.)