A171796 -id:A171796 - cp's OEIS frontend

A144171 Numbers of rank 1 in the poset of lunar numbers.

8, 19, 29, 39, 49, 59, 69, 79, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 109, 209, 219, 309, 319, 329, 409, 419, 429, 439, 509, 519, 529, 539, 549, 609, 619, 629, 639, 649, 659, 709, 719, 729, 739, 749, 759, 769, 809, 819, 829, 839, 849, 859, 869, 879, 901

Offset: 1

David Applegate, Marc LeBrun and N. J. A. Sloane, Aug 25 2010

Consists of 8 followed by all the lunar primes (A087097).

We have now changed the name from "dismal arithmetic" to "lunar arithmetic" - the old name was too depressing. - N. J. A. Sloane, Aug 06 2014

N. J. A. Sloane, Table of n, a(n) for n = 1..22096
D. Applegate, M. LeBrun and N. J. A. Sloane, Dismal Arithmetic, arxiv:1107.1130 [math.NT] (2011).
Index entries for sequences related to dismal (or lunar) arithmetic

Cf. A087097.

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

A144175 Numbers of rank 2 in the poset of lunar numbers.

Original entry on oeis.org

7, 18, 28, 38, 48, 58, 68, 78, 80, 81, 82, 83, 84, 85, 86, 87, 88, 108, 119, 129, 139, 149, 159, 169, 179, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 208, 218, 229, 239, 249, 259, 269, 279, 289, 290, 291, 292, 293, 294, 295, 296, 297

Offset: 1

David Applegate, Marc LeBrun and N. J. A. Sloane, Aug 25 2010, corrected Oct 14 2010

David Applegate and N. J. A. Sloane, Table of n, a(n) for n = 1..23290
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

Cf. A087097, A133626, A161813, A144171, A144175, A171786, A171787, A171788, A171789, A171794, A171795, A171796, A191752, A191753.

A161813 Rank of n in the lunar poset.

Original entry on oeis.org

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

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

			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

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

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

A191752 Numbers of rank 10 in the poset of lunar numbers.

Original entry on oeis.org

100, 110, 111, 1010, 1112, 1120, 1121, 1122, 1200, 1210, 1211, 1220, 1221, 1222, 2000, 2100, 2110, 2111, 2200, 2210, 2211, 2220, 2221, 2222, 10010, 10101, 10110, 10200, 11010, 11011, 11113, 11123, 11130, 11131, 11132, 11133, 11212, 11223, 11230, 11231, 11232, 11233, 11300, 11310, 11311, 11320, 11321, 11322, 11330, 11331, 11332, 11333, 12120, 12121, 12223, 12230, 12231, 12232

Offset: 1

N. J. A. Sloane, Jun 15 2011

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]
D. Applegate, M. LeBrun, N. J. A. Sloane, Dismal Arithmetic, J. Int. Seq. 14 (2011) # 11.9.8.
Index entries for sequences related to dismal (or lunar) arithmetic

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

A191753 Numbers of rank 11 in the poset of lunar numbers.

Original entry on oeis.org

1000, 1100, 1110, 1111, 10100, 11112, 11120, 11121, 11122, 11200, 11210, 11211, 11220, 11221, 11222, 12000, 12100, 12110, 12111, 12200, 12210, 12211, 12220, 12221, 12222, 20000, 21000, 21100, 21110, 21111, 22000, 22100, 22110, 22111, 22200, 22210, 22211, 22220, 22221, 22222

Offset: 1

N. J. A. Sloane, Jun 15 2011

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]
D. Applegate, M. LeBrun, N. J. A. Sloane, Dismal Arithmetic, J. Int. Seq. 14 (2011) # 11.9.8.
Index entries for sequences related to dismal (or lunar) arithmetic

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

A171816 Smallest number of rank n in the poset of lunar numbers.

Original entry on oeis.org

9, 8, 7, 6, 5, 4, 3, 2, 1, 10, 100, 1000, 10000, 100000, 1000000, 10000000, 100000000, 1000000000, 10000000000, 100000000000, 1000000000000, 10000000000000, 100000000000000, 1000000000000000, 10000000000000000, 100000000000000000, 1000000000000000000, 10000000000000000000

Offset: 0

David Applegate, Marc LeBrun and N. J. A. Sloane, Oct 15 2010

We have now changed the name from "dismal arithmetic" to "lunar arithmetic" - the old name was too depressing. - N. J. A. Sloane, Aug 06 2014

D. Applegate, M. LeBrun and N. J. A. Sloane, Dismal Arithmetic, arxiv:1107.1130 (2011).
Index entries for sequences related to dismal (or lunar) arithmetic

Cf. A087061 (definition of lunar sum and product), A087062 (table of lunar product), A087097 (lunar (formerly dismal) primes).

Cf. A161813 (lunar poset rank of n), A144171, A144175, A171786, A171787, A171788, A171789, A171794, A171795, A171796, A191752, A191753.

Edited by M. F. Hasler, Nov 12 2017

cp's OEIS Frontend

A144171 Numbers of rank 1 in the poset of lunar numbers.

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A144175 Numbers of rank 2 in the poset of lunar numbers.

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A161813 Rank of n in the lunar poset.

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A191752 Numbers of rank 10 in the poset of lunar numbers.

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A191753 Numbers of rank 11 in the poset of lunar numbers.

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A171816 Smallest number of rank n in the poset of lunar numbers.

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