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A319951

Take Golomb's sequence A001462 and extend all the runs by 1; prepend an initial 0.

0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 19

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

OFFSET

0,4

COMMENTS

Each value of n (n >= 1) appears exactly A001462(n)+1 times.

LINKS

Table of n, a(n) for n=0..102.

FORMULA

a(n) = A001462(n - A001462(n - A001462(n))) for n >= 3. - Alan Michael Gómez Calderón, Aug 14 2025

EXAMPLE

Golomb's sequence begins 1, 2,2, 3,3, 4,4,4, 5,5,5, ...

and we just extend each run by one term, getting 0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, ...