A275875 Subadditive triangle read by rows associated with the Grundy function A025480.

2, 1, 3, 1, 2, 3, 1, 1, 2, 4, 1, 1, 2, 2, 4, 1, 1, 1, 2, 3, 4, 1, 1, 1, 2, 2, 3, 4, 1, 1, 1, 1, 2, 2, 3, 5, 1, 1, 1, 1, 2, 2, 2, 3, 5, 1, 1, 1, 1, 1, 2, 2, 3, 3, 5

Offset

0,1

Comments

See Levine 2004/2006 for definition. His Theorem 3.6 shows that there is a one-to-one correspondence between fractal sequences and subadditive triangles.

References

L. Levine, Fractal sequences and restricted Nim, Ars Combin. 80 (2006), 113-127.

Links

Table of n, a(n) for n=0..54.

L. Levine, Fractal sequences and restricted Nim, arXiv:math/0409408 [math.CO], 2004.

Example

Triangle begins:
2,
1,3,
1,2,3,
1,1,2,4,
1,1,2,2,4,
1,1,1,2,3,4,
1,1,1,2,2,3,4,
1,1,1,1,2,2,3,5,
1,1,1,1,2,2,2,3,5,
1,1,1,1,1,2,2,3,3,5,
...

Crossrefs

Cf. A025480.

Sequence in context: A070094 A344227 A325521 * A105497 A255809 A332604

Adjacent sequences: A275872 A275873 A275874 * A275876 A275877 A275878

Keyword

nonn,tabl,more

Author

N. J. A. Sloane, Aug 14 2016

Status

approved