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A287056 a(n) is such that A100827(n) = A082917(n - a(n)) - 1, or -1 if there is no corresponding term. 1
-1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 0, -1, 1, 1, 1, 1, 1, 1, -1, 2, 2, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 2, 2, 2, -1, 3, 3, 3, 3, -1, 4, 4, -1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,23
COMMENTS
Most of the known terms of A100827 are 1 less than a term in A082917, and conversely. This sequences looks at the location in the sequence of the corresponding terms. Negative terms do not occur among the known terms of this sequence. When a(n+1) is different from a(n) (and both are nonnegative), there are |a(n+1)-a(n)| terms in one of the sequences that aren't in the other. With some irregularities, this sequence generally gradually increases at first, reaching a(49)=5. Then there are 9 a(n)=5, followed by 20 a(n)=4, followed by 30 a(n)=3, and then a(n)=2 for n=108 to 229. What is the behavior of the rest of the sequence? Does it stay at a(n)=2?
LINKS
EXAMPLE
Examples: A100827(6)=47, A082917(5)=47+1, so a(6) = 6-5 = 1. A100827(23)=779, A082917(21)=779+1, so a(23) = 23-21 = 2.
CROSSREFS
Sequence in context: A370975 A030409 A030407 * A098357 A370958 A335208
KEYWORD
sign
AUTHOR
Jud McCranie, May 18 2017
STATUS
approved

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Last modified July 20 19:14 EDT 2024. Contains 374459 sequences. (Running on oeis4.)