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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 (list; graph; refs; listen; history; text; internal format)
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. 145-151.

LINKS

Jud McCranie, Table of n, a(n) for n = 1..10000

Steven R. Finch, Stolarsky-Harborth Constant [Broken link]

Steven R. Finch, Stolarsky-Harborth 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

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Last modified December 6 07:17 EST 2021. Contains 349563 sequences. (Running on oeis4.)