

A072832


First differences of Ulam's sequence A002858.


4



1, 1, 1, 2, 2, 3, 2, 3, 2, 8, 2, 8, 2, 9, 1, 5, 4, 5, 7, 3, 5, 5, 5, 10, 2, 3, 4, 8, 12, 5, 7, 7, 3, 7, 20, 2, 3, 2, 7, 8, 9, 3, 10, 2, 15, 2, 3, 2, 10, 5, 2, 13, 9, 27, 7, 3, 5, 15, 2, 15, 2, 5, 7, 12, 8, 10, 2, 7, 3, 2, 15, 2, 3, 7, 10, 5, 27, 2, 12, 5, 20, 2, 20, 2, 20, 2, 17, 17, 3, 2, 5, 12, 3
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OFFSET

1,4


COMMENTS

No pattern in this sequence has ever been observed, according to Finch.
In the first 49,999,999 terms, 1 occurs four times, 36.9% of the terms are 2, and some terms have not occurred.  Jud McCranie, Mar 02 2012
Even though some values seem to get larger as the sequence grows, it appears that the combined frequency of the values 2 and 3 approaches 50%. This shows up even in the first 10000 terms (combined frequency: 49.9%).  Enrique Navarrete, May 08 2017


REFERENCES

Steven R. Finch, Mathematical Constants, Cambridge, 2003, pp. 145151.


LINKS

Jud McCranie, Table of n, a(n) for n = 1..10000
Steven R. Finch, StolarskyHarborth Constant [Broken link]
Steven R. Finch, StolarskyHarborth Constant [From the Wayback machine]


CROSSREFS

Cf. A002858, A072540 (conjectured missing terms).
Sequence in context: A080330 A342905 A152872 * A080328 A245555 A031266
Adjacent sequences: A072829 A072830 A072831 * A072833 A072834 A072835


KEYWORD

nonn,easy


AUTHOR

N. J. A. Sloane, Jul 25 2002


EXTENSIONS

More terms from Matthew Conroy, Aug 24 2002


STATUS

approved



