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

Offset: 0

Author

N. J. A. Sloane, Oct 02 2018

Keywords

• nonn

Comments

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

Examples

			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, ...
		

Crossrefs

Cf. A001462, A318921, A319434.

Formula

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