A072832 - OEIS

A072832

First differences of Ulam's sequence A002858.

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. 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: A356741 A152872 A350883 * 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