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

1,1

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

Example

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

Crossrefs

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

Sequence in context: A141726 A307339 A031310 * A284809 A104347 A180598

Adjacent sequences: A161810 A161811 A161812 * A161814 A161815 A161816

Keyword

nonn,base

Author

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

Status

approved