A105496 - OEIS

A105496

A "Fractal Jump Sequence" (FJS) that reappears twice (itself and itself + 1; see the Comments section).

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, 5, 8, 6

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

Start on a(1) = 1 and underline it;

from there, jump over 1 term to the right; you land on a(3) = 2, which you underline;

from there, jump over 2 terms to the right; you'll land on a(6) = 2, which you underline;

from there, jump over 2 terms to the right; you'll land on a(9) = 3, which you underline;

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

from there, jump over 3 terms to the right; you'll land on a(17) = 2, which you underline; etc.

The underlined terms reproduce the starting sequence. The not underlined terms are the successive terms of the starting sequence augmented by 1.

LINKS

CROSSREFS

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

KEYWORD

nonn,base,more

AUTHOR

STATUS

approved