A161813 Rank of n in the lunar poset.

8, 7, 6, 5, 4, 3, 2, 1, 0, 9, 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, 8, 8, 7, 6, 5, 4, 3, 2, 1, 7, 7, 7, 7, 6, 5, 4, 3, 2, 1, 6, 6, 6, 6, 6, 5, 4, 3, 2, 1, 5, 5, 5, 5, 5, 5, 4, 3, 2, 1, 4, 4, 4, 4, 4, 4, 4, 3, 2, 1, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 10, 9, 8, 7, 6, 5

Offset: 1

Author

David Applegate, Marc LeBrun and N. J. A. Sloane, Aug 20 2010

Keywords

• nonn
• base

Examples

			Ranks of the numbers 1 through 99, written in 10 groups of 10 (the dash is for n=0, where the rank is undefined):
- 8 7 6 5 4 3 2 1 0 (1 has rank 8, 2 has rank 7, etc.)
9 9 8 7 6 5 4 3 2 1 (10 has rank 9, 11 has rank 9, etc.)
8 8 8 7 6 5 4 3 2 1
7 7 7 7 6 5 4 3 2 1
6 6 6 6 6 5 4 3 2 1
5 5 5 5 5 5 4 3 2 1
4 4 4 4 4 4 4 3 2 1
3 3 3 3 3 3 3 3 2 1
2 2 2 2 2 2 2 2 2 1
1 1 1 1 1 1 1 1 1 1
		

Links

• David Applegate, Table of n, a(n) for n = 1..100000
• D. Applegate, M. LeBrun and N. J. A. Sloane, Dismal Arithmetic [Note: we have now changed the name from "dismal arithmetic" to "lunar arithmetic" - the old name was too depressing]
• Index entries for sequences related to dismal (or lunar) arithmetic

Crossrefs

Cf. A161813, A144171, A144175, A171786, A171787, A171788, A171789, A171794, A171795, A171796, A191752, A191753.