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Numbers whose trajectory under the Esucarys map ends at the fixed point 247.
1

%I #17 Jan 30 2021 02:32:47

%S 247,1247,1484,2473,4859,5087,5738,7318,7484,9563,9682,9694,9938,

%T 11247,12189,12473,14840,14842,15209,15610,16274,16563,16750,16798,

%U 17609,19168,20019,21885,24733,26251,27123,27125,29156,30076,30524,32614,43899,44274,45098,45787,48593,49682,49694,49697

%N Numbers whose trajectory under the Esucarys map ends at the fixed point 247.

%C Old title was: "(c,n) is the n-th number for which the Esucarys sequence starting from it reaches 247 and from there keeps indefinitely this value."

%C The name "Esucarys" is a reversal of "Syracuse", with the generating rule being that for the Syracuse sequence followed by a reversal.

%C 247 is the only known fixed point of the Esucarys sequence. - _Charlie Neder_, Jan 12 2019

%H Charlie Neder, <a href="/A129133/b129133.txt">Table of n, a(n) for n = 1..560</a>

%e For c < 1247 no sequence starting from c except 247 itself reaches 247.

%e S(1247)=2473, then E(1247) = 3742.

%e S(3742)=7420, then E(3742) = 247, then (c,1) = 247 and (c,2) = 1247.

%Y Cf. A006577, A129121.

%K easy,nonn,base,uned

%O 1,1

%A Philippe LALLOUET (philip.lallouet(AT)wanadoo.fr), May 25 2007

%E Extended, missing a(5) and a(6) added, and name changed by _Charlie Neder_, Jan 12 2019