A105496 - OEIS

%I #18 Mar 23 2021 04:51:58

%S 1,2,2,3,3,2,4,4,3,3,5,5,3,4,4,6,2,6,4,4,5,5,7,3,4,7,5,5,6,3,6,8,4,3,

%T 5,8,6

%N A "Fractal Jump Sequence" (FJS) that reappears twice (itself and itself + 1; 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) = 3, which you underline;

%C from there, jump over 3 terms to the right; you'll land on a(13) = 3, which you underline;

%C from there, jump over 3 terms to the right; you'll land on a(17) = 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 augmented by 1.

%Y Cf. A330639 (multiplying by 2 the non-underlined terms instead of adding 1 to them).

%K nonn,base,more

%O 1,2

%A _Eric Angelini_, Dec 22 2019