A260123 - OEIS

%I #10 May 08 2024 10:30:14

%S 1,2,2,2,2,2,4,2,4,2,4,2,2,4,4,2,4,2,4,2,4,2,2,4,4,2,2,4,2,2,2,4,4,4,

%T 2,8,2,4,4,4,2,4,2,8,2,2,4,4,2,2,4,2,8,2,4,2,4,2,4,4,8,2,4,4,4,4,4,4,

%U 2,8,2,4,2,4,4,8,2,4,2,4,2,2,4,4,2,2,4,2,8,4,4,2,8,2,4,4,4,2,4,2,8,2,2,8

%N The second infinite sequence of positive integers such that a(n) = A037445(a(1)+a(2)+...+a(n)) for all n>=1 (see also A260085).

%C The second after A260085 infinitary analog of A259935 (see comment there). Using Guba's method (2015) one can prove that such an infinite sequence exists.

%C All terms are powers of 2.

%Y Cf. A037445, A259935, A260085.

%K nonn

%O 1,2

%A _Vladimir Shevelev_, Jul 17 2015