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%I #6 Jan 06 2020 09:17:36
%S 1,2,2,4,4,2,8,8,4,4,16,16,8,4,8,32,32,16,2,8,16,8,64,64,32,4,16,32,
%T 16,128,8,128,64,8,32,64,32,256
%N A "Fractal Jump Sequence" (FJS) that reappears twice (itself and itself*2; see the Comments section).
%C Start on a(1) = 1 and underline it;
%C from there, jump over 1 term to the right; you land on a(3) = 2, which you underline;
%C from there, jump over 2 terms to the right; you'll land on a(6) = 2, which you underline;
%C from there, jump over 2 terms to the right; you'll land on a(9) = 4, which you underline;
%C from there, jump over 4 terms to the right; you'll land on a(14) = 4, which you underline;
%C from there, jump over 4 terms to the right; you'll land on a(19) = 2, which you underline; etc.
%C The underlined terms reproduce the starting sequence. The not underlined terms are the successive terms of the starting sequence multiplied by 2.
%Y Cf. A105496 (adding 1 instead of multiplying by 2 the non-underlined terms).
%K base,nonn,more
%O 1,2
%A _Eric Angelini_, Dec 22 2019