a[n] is a[n] terms from term = a[n]+1

Franklin T. Adams-Watters franktaw at netscape.net
Tue Jan 7 01:06:02 CET 2003


I notice that this (the b[n] below) has been added as a finite sequence, A078943.  However, this is just sequence A063733 (Recaman's sequence plus one) up to the first duplication.  Should A078943 be a separate entry in the encyclopedia?  If it is, it should certainly contain a reference to A063733.

Dean Hickerson <dean at math.ucdavis.edu> wrote:
>              /  b[n]-n  if this is positive and does not occur among the
>              |          values b[1], ..., b[n];
>    b[n+1] = <
>              |
>              \  b[n]+n  otherwise.
>
>We have:
>
>       n  1 2 3 4 5 6  7  8  9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
>    b[n]  1 2 4 7 3 8 14 21 13 22 12 23 11 24 10 25  9 26 44 63 43 64 42 19
>
>But now b[24]-24 = -5 and b[24]+24 = 43, neither of which is available as
>a value for b[25].

-- 
Franklin T. Adams-Watters
16 W. Michigan Ave.
Palatine, IL 60067
847-776-7645


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