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A335702 A sequence connected with Rado’s explicit description of the Erdős-Rényi countable random graph. 2

%I #25 Aug 14 2020 16:15:26

%S 0,1,2,4,5,8,12,16,17,18,24,32,34,40,48,50,56,64,65,72,80,81,88,96,

%T 104,112,120,128,136,144,152,160,168,176,184,192,200,208,216,224,232,

%U 240,248,256,257,258,260,261,272,273,274,288,290,304,306,320,321,336

%N A sequence connected with Rado’s explicit description of the Erdős-Rényi countable random graph.

%C It would be nice to have an explicit definition.

%H Rémy Sigrist, <a href="/A335702/b335702.txt">Table of n, a(n) for n = 1..10000</a>

%H Peter J. Cameron, <a href="https://cameroncounts.wordpress.com/2020/08/05/a-puzzle-3/">A Puzzle</a>, Blog, Aug 05 2020.

%H Peter J. Cameron, <a href="https://cameroncounts.wordpress.com/2020/08/13/puzzle-solution/">Puzzle Solution</a>, Blog, Aug 13 2020.

%o (PARI) S(n) = { my (s=[], i); while (n, i=valuation(n,2); s=concat(s,i); n-=2^i); s }

%o is(n) = my (s=S(n), z=if (#s, Set(concat(apply(S, s))), [])); setintersect(s, z)==[] \\ _Rémy Sigrist_, Aug 14 2020

%Y Cf. A133457.

%K nonn

%O 1,3

%A _N. J. A. Sloane_, Aug 13 2020

%E More terms from _Rémy Sigrist_, Aug 14 2020

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Last modified April 24 08:59 EDT 2024. Contains 371935 sequences. (Running on oeis4.)