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Numbers k such that A003313(k) = A003313(4*k).
8

%I #13 Sep 12 2024 01:39:50

%S 30958077,55670941,61487077,111031197,112710897,113180303,114523591,

%T 121275479,121963055,122830789,215074411,215182221,220162873,

%U 222034845,222254557,222661789,223538781,225298237,225414385,225545245,225695631

%N Numbers k such that A003313(k) = A003313(4*k).

%C Terms are counterexamples to the conjecture that no shortest addition chains exist such that A003313(m)=A003313(m*2^k) for k>1, with a(1)=30958077 provided in 2008 by _Neill M. Clift_.

%H Hugo Pfoertner, <a href="/A261986/b261986.txt">Table of n, a(n) for n = 1..75</a>

%Y Cf. A115016, A003313 [l(k)], A086878 [l(k)=l(2*k)], A116459 [l(k)=l(3*k)], A116460 [l(k)=l(5*k)], A116461 [l(k)=l(6*k)], A116462 [l(k)=l(7*k)], A116463 [l(k)=l(9*k)], A117151 [l(k)=l(10*k)].

%K nonn

%O 1,1

%A _Hugo Pfoertner_, Sep 07 2015