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Ulam numbers starting with the numbers 1 and 9.
1

%I #20 Aug 23 2020 02:09:35

%S 1,9,10,11,12,13,14,15,16,17,18,20,36,38,39,40,41,42,43,44,46,66,67,

%T 68,69,70,71,72,73,92,101,121,122,123,124,125,126,127,146,155,174,182,

%U 201,211,229,230,237,256,284,285,286,287,288,289,290,291,311,348,365,368

%N Ulam numbers starting with the numbers 1 and 9.

%D Clifford A. Pickover, Wonders of Numbers, Oxford University Press, NY, 2001, p. 185-186.

%H Amiram Eldar, <a href="/A060009/b060009.txt">Table of n, a(n) for n = 1..10000</a>

%H Clifford A. Pickover, "Wonders of Numbers, Adventures in Mathematics, Mind and Meaning," <a href="http://www.zentralblatt-math.org/zmath/en/search/?q=an:0983.00008&amp;format=complete">Zentralblatt review</a>.

%F Ulam numbers are positive integers that can be expressed in just one way as the sum of two distinct earlier members of the sequence in increasing order.

%e a(4) = 11 is an Ulam number because 10 + 1 = 11, but 19 is not because there is more than one way to form 19 from summing previous sequence numbers, e.g., 18 + 1 and 10 + 9.

%Y Cf. A002858.

%K nonn,base

%O 1,2

%A _Jason Earls_, Mar 16 2001